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1001 - D4 - AGE, WORK, MIXTURE, DIGIT, MOTION PROBLEMS > D4 - AGE, WORK, MIXTURE, DIGIT, MOTION PROBLEMS > Flashcards

D4 - AGE, WORK, MIXTURE, DIGIT, MOTION PROBLEMS Flashcards

1
Q

Mary is 24 years old. Mary is twice as old as Ann was when Mary was as old as Ann is now. How old is Ann now?

A. 16
B. 18
C. 12
D. 15

A

B. 18

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2
Q

The sum of Kim’s and Kevin’s ages is 18. In 3 years, Kim will be twice as old as Kevin. What are their ages now?

A. 4, 14
B. 5, 13
C. 7, 11
D. 6, 12

A

B. 5, 13

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3
Q

Robert is 15 years older than his brother Stan. However “y” years ago, Robert was twice as old as Stan. If Stan is now “b” years old and b>y, find the value of (b- y).

A. 15
B. 16
C. 17
D. 18

A

A. 15

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3
Q

A girl is one-third as old as her brother and 8 years younger than her sister. The sum of their ages is 38 years. How old is the girl?

A. 4
B. 5
C. 6
D. 7

A

C. 6

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3
Q

JJ is three times as old as Jan-Jan. Three years ago, JJ was four times as old as Jan-Jan. The sum of their ages is

A. 20
B. 24
C. 28
D.36

A

D.36

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4
Q

Paula is now 18 years old and his colleague Monica is 14 years old. How many years ago was Paula twice as old as Monica?

A. 5
B. 7
C. 8
D. 10

A

D. 10

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4
Q

A father tells his son, “I was your age now when you were born.” If the father is now 38 years old, how old was his son 2 years ago?

A. 15
B. 17
C. 19
D. 21

A

B. 17

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4
Q

Six years ago, Nilda was five times as old as Riza. In five years, Nilda will be three times as old as Riza. What is the present age of Riza?

A. 17
B. 16
C. 15
D. 14

A

A. 17

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4
Q

At present, the sum of the parents’ ages is twice the sum of the children’s ages. Five years ago, the sum of the parents’ ages was 4 times the sum of the children’s ages. Fifteen years hence, the sum of the parents’ ages will be equal to the sum of the children’s ages. How many children are there?

A. 3
B. 4
C. 5
D. 6

A

C. 5

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4
Q

A pump can pump out water from a tank in 11 hours. Another pump can pump out water from the same tank in 20 hours. How long will it take both pumps to pump out the water in the tank?

A. 7 hours
B. 6 hours
C. 7 1/2 hours
D. 6 1/2 hours

A

A. 7 hours

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4
Q

A 400-mm Ø pipe can fill the tank alone in 5 hours and another 600-mm Ø pipe can fill the tank alone in 4 hours. A drain pipe 300-mm Ø can empty the tank in 20 hours. With all the three pipes open, how long will it take to fill the tank?

A. 2.00 hours
B. 2.50 hours
C. 2.25 hours
D. 2.75 hours

A

B. 2.50 hours

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5
Q

Debbie is now twice as old as Jerry. Four years ago, Debbie was three times as old as Jerry then. How old is Debbie?

A. 14
B. 16
C. 18
D. 24

A

B. 16

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5
Q

A tank is filled with an intake pipe in 2 hours and emptied by an outlet pipe in 4 hours. If both pipes are opened, how long will it take to fill the empty tank?

A. 3 hours
B. 4 hours
C. 5 hours
D. 6 hours

A

B. 4 hours

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5
Q

A and B working together can finish painting a house in 6 days. A working alone can finish it in 5 days less than B. How long will it take each of them to finish the work alone?

A. 8, 13
B. 10, 15
C. 6, 11
D. 7, 12

A

B. 10, 15

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5
Q

It takes Butch twice as long as it takes Dan to do a certain piece of work. Working together they can do the work in 6 days. How long would it take Dan to do it alone?

A. 9 days
B. 10 days
C. 11 days
D. 12 days

A

A. 9 days

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5
Q

A tank can be filled in 9 hours by one pipe, 12 hours by a second pipe and can be drained when full by a third pipe in 15 hours. How long will it take to fill an empty tank with all pipes in operation?

A. 7 hours and 12 minutes
B. 7 hours and 32 minutes
C. 7 hours and 42 minutes
D. 7 hours and 50 minutes

A

D. 7 hours and 50 minutes

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5
Q

If A can do the work in “x” days and B in “y” days, how long will they finish the job working together?

A. x+y/ху
B. x+y/2
C. xy/x+y
D.√xy

A

C. xy/x+y

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6
Q

Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar, and together they can paint a given fence in 4 hours. How long will it take Pedro to paint the same fence if he had to work alone?

A. 6
B. 8
C. 10
D. 12

A

C. 10

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7
Q

Glenn can paint a house in 9 hours while Stewart can paint the same house in 16 hours. They work together for 4 hours. After 4 hours, Stewart left and Glenn finished the job alone. How many more days did it take Glenn to finish the job?

A. 2.75 hours
B. 2.50 hours
C. 2.25 hours
D. 3.00 hours

A

A. 2.75 hours

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7
Q

A and B can do a piece of work in 42 days, B and C in 31 days and C and A in 20 days. In how many days can all of them do the work together?

A. 19
B. 17
C. 21
D. 15

A

A. 19

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7
Q

It takes Myline twice as long as Jeana to do a certain piece of work. Working together, they can finish the work in 6 hours. How long would it take Jeana to do it alone?

A. 9 hours
B. 18 hours
C. 12 hours
D. 14 hours

A

B. 18 hours

8
Q

Mike, Loui and Joy can mow the lawn in 4, 6 and 7 hours respectively. What fraction of the yard can they mow in 1 hour if they work together?

A. 47/84
B. 45/84
C. 84/47
D. 39/60

A

A. 47/84

8
Q

Crew No. 1 can finish installation of an antenna tower in 200 man-hour while Crew No. 2 can finish the same job in 300 man-hour. How long will it take both crews to finish the same job, working together?

A. 100 man-hour
B. 120 man-hour
C. 140 man-hour
D. 160 man-hour

A

B. 120 man-hour

8
Q

A farmer can plow the field in 8 days. After working for 3 days, his son joins him and together they plow the field in 3 more days. How many days will it require for the son to plow the field alone?

A. 10
B. 11
C. 12
D. 13

A

C. 12

8
Q

On one job, two power shovels excavate 20,000 cubic meters of earth, the larger shovel working 40 hours and the smaller for 35 hours. On another job, they removed 40,000 cubic meters with the larger shovel working 70 hours and the smaller working 90 hours, How much earth can each remove in 1 hour working alone?

A. 169.2, 287.3
B. 178.3, 294.1
C. 173.9, 347.8
D. 200.1, 312.4

A

C. 173.9, 347.8

9
Q

Ten liters of 25% salt solution and 15 liters of 35 % salt solution are poured into a drum originally containing 30 liters of 10% salt solution. What is the per cent concentration of salt in the mixture?

A. 19.55%
B. 22.15%
C. 27.05%
D. 25.72%

A

A. 19.55%

10
Q

A Chemist of a distillery experimented on two alcohol solutions of different strength, 35% alcohol and 50% alcohol, respectively. How many cubic meters of each strength must he use in order to produce a mixture of 60 cubic meters that contain 40% alcohol?

A. 20 m3 of solution with 35% alcohol, 40 m3 of solution with 50% alcohol
B. 50 m3 of solution with 35% alcohol, 20 m3 of solution with 50% alcohol
C. 20 m3 of solution with 35% alcohol, 50 m3 of solution with 50% alcohol
D. 40 m3 of solution with 35% alcohol, 20 m3 of solution with 50% alcohol

A

D. 40 m3 of solution with 35% alcohol, 20 m3 of solution with 50% alcohol

11
Q

A goldsmith has two alloys of gold, the first being 70% pure and the second being 60% pure. How many ounces of the 60% pure gold must be used to make 100 ounces of an alloy which will be 66% gold?

A. 40
B. 35
C. 45
D. 38

A

A. 40

12
Q

If a two digit number has x for its unit’s digit and y for its ten’s digit, represent the number.

A. 10x + y
B. 10y + x
С. ух
D. xy

A

B. 10y + x

13
Q

Two thousand (2000) kg of steel containing 8% nickel is to be made by mixing a steel containing 14% nickel with another containing 6% nickel. How much of each is needed?

A. 1500 kg of steel with 14% nickel, 500 kg of steel with 6% nickel
B. 750 kg of steel with 14% nickel, 1250 kg of steel with 6% nickel
C. 500 kg of steel with 14% nickel, 1500 kg of steel with 6% nickel
D. 1250 kg of steel with 14% nickel, 750 kg of steel with 6% nickel

A

C. 500 kg of steel with 14% nickel, 1500 kg of steel with 6% nickel

14
Q

How much water must be evaporated from 10 kg solution which has 4% salt to make a solution of 10% salt?

A. 4 kg
B. 5 kg
C. 6 kg
D. 7 kg

A

C. 6 kg

15
Q

Ten less than four times a certain number is 14. Determine the number.

A. 6
B. 7
C. 8
D. 9

A

A. 6

15
Q

One number is 5 less than the other. If their sum is 135, what are the numbers?

A. 85, 50
B. 80, 55
C. 70, 65
D. 75, 60

A

C. 70, 65

16
Q

The sum of two numbers is 21 and one number is twice the other. Find the numbers.

A. 6, 15
B. 7,14
C. 8,13
D. 9,12

A

B. 7,14

17
Q

If eight is added to the product of nine and the numerical number, the sum is seventy-one. Find the unknown number.

A. 5
B. 6
C. 7
D. 8

A

C. 7

18
Q

Find the fraction such that if 2 is subtracted from its terms its becomes 1/4, but if 4 is added to its terms it becomes 1/2.

A. 3/5
B. 5/12
C. 5/14
D. 6/13

A

C. 5/14

18
Q

The product of ¼ and ⅕ of a number is 500. What is the number?

A. 50
B. 75
C. 100
D. 125

A

C. 100

19
Q

Find the product of two numbers such that twice the first added to the second equals 19 and three times the first is 21 more than the second.

A. 24
B. 32
C. 18
D. 20

A

A. 24

19
Q

If 3 is subtracted from the numerator of a certain fraction, the value of the fraction becomes 3/5. If 1 is subtracted from the denominator of the same fraction, it becomes 2/3. Find the original fraction.

A. 35/55
B. 36/55
C. 3/7
D. 32/41

A

B. 36/55

20
Q

The denominator of a certain fraction is three more than twice the numerator. If 7 is added to both terms of the fraction, the resulting fraction is 3/5. Find the original fraction.

A. 8/5
B. 13/5
C. 5/13
D. 3/5

A

C. 5/13

21
Q

The tens’ digit of a number is 3 less than the units’ digit. If the number is divided by the sum of the digits, the quotient is 4 and the remainder is 3. What is the original number?

A. 36
B. 47
C. 58
D. 69

A

B. 47

22
Q

The second of the four numbers is three less than the first, the third is four more than the first and the fourth is two more than the third. Find the fourth number if their sum is 35.

A. 10
B. 11
C. 12
D. 13

A

D. 13

23
Q

A jogger starts a course at a steady rate of 8 kph. Five minutes later, a second jogger starts the same course at 10 kph. How long will it take the second jogger to catch the first?

A. 20 min
B. 21 min
C. 22 min
D. 18 min

A

A. 20 min

23
Q

A boat man rows to a place 4.8 miles with the stream and back in 14 hours, but finds that he can row 14 miles with the stream in the same time as 3 miles against the stream. Find the rate of the stream.

A.1.5 miles per hour
B.1 mile per hour
C. 0.8 mile per hour
D. 0.6 mile per hour

A

D. 0.6 mile per hour

24
Q

A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream should he go if he is to return in 7/4 hours after leaving?

A. 2.5 miles
B. 3.3 miles
C. 3.1 miles
D. 2.7 miles

A

A. 2.5 miles

25
Q

An airplane flying with the wind, took 2 hours to travel 1000 km and 2.5 hours in flying back. What was the wind velocity in kph?

A. 50
B. 60
C. 70
D. 40

A

A. 50

26
Q

A boat travels downstream in 2/3 of the time as it goes going upstream. If the velocity of the river’s current is 8 kph, determine the velocity of the boat in still water.

A. 40 kph
B. 50 kph
C. 30 kph
D. 60 kph

A

A. 40 kph

27
Q

Two planes leave Manila for a southern city, a distance of 900 km. Plane A travels at a ground speed of 90 kph faster than the plane B. Plane A arrives in their destination 2 hours and 15 minutes ahead of Plane B. What is the ground speed of plane A?

A. 205 kph
B. 315 kph
C. 240 kph
D. 287 kph

A

C. 240 kph

28
Q

A train, an hour after starting, meets with an accident which detains it an hour, after which it proceeds at 3/5 of its former rate and arrives three hour after time; but had the accident happened 50 miles farther on the line, it would have arrived one and one-half hour sooner. Find the length of the journey.

A. 910/9 miles
B. 800/9 miles
C. 920/9 miles
D. 850/9 miles

A

B. 800/9 miles

29
Q

On a certain trip, Edgar drive 231 km in exactly the same time as Erwin drive 308 km. If Erwin’s rate exceeded that of Edgar by 13 kph, determine the rate of Erwin.

A. 39 kph
B. 44 kph
C. 48 kph
D. 52 kph

A

D. 52 kph

1001 - D4 - AGE, WORK, MIXTURE, DIGIT, MOTION PROBLEMS (1 decks)

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