27. Time and Work

Question 1

What is the formula for work?

Answer 1

Work = Force × Distance

Question 2

What is the formula for time?

Answer 2

Time = Work / Rate

Question 3

What is the formula for rate?

Answer 3

Rate = Work / Time

Question 4

How do you calculate the efficiency?

Answer 4

Efficiency = (Useful Work / Total Work) × 100%

Question 5

What is the formula for efficiency?

Answer 5

Efficiency = (Output / Input) × 100%

Question 6

How do you calculate the time taken to complete a job?

Answer 6

Time = Total Work / Rate

Question 7

What is the formula for the work done by multiple people?

Answer 7

Work = (Individual Rate × Individual Time) + (Individual Rate × Individual Time) + …

Question 8

What is the formula for the time taken by multiple people to complete a job?

Answer 8

Time = Total Work / (Individual Rate + Individual Rate + …)

Question 9

What is the formula for finding the number of workers required to complete a job in a given time?

Answer 9

Number of Workers = Total Work / (Individual Rate × Time)

Question 10

How do you calculate the efficiency of multiple workers?

Answer 10

Efficiency = (Total Output / Total Input) × 100%

Question 11

What is the formula for efficiency when different workers have different efficiencies?

Answer 11

Efficiency = (Total Output / (Individual Efficiency × Total Input)) × 100%

Question 12

What is the formula for finding the work done when two people work together?

Answer 12

Work = (Individual Rate × Individual Time) + (Individual Rate × Individual Time)

Question 13

What is the formula for finding the time taken when two people work together?

Answer 13

Time = Total Work / (Individual Rate + Individual Rate)

Question 14

What is the formula for finding the work done when two people work alternatively?

Answer 14

Work = (Individual Rate × Individual Time) - (Individual Rate × Individual Time)

Question 15

What is the formula for finding the time taken when two people work alternatively?

Answer 15

Time = Total Work / (Individual Rate - Individual Rate)

Question 16

What is the formula for finding the total work when people work in shifts?

Answer 16

Total Work = (Individual Work × Individual Time) + (Individual Work × Individual Time) + …

Question 17

What is the formula for finding the total time taken when people work in shifts?

Answer 17

Total Time = Individual Time + Individual Time + …

Question 18

How do you calculate the efficiency when people work in shifts?

Answer 18

Efficiency = (Total Output / (Individual Work × Total Time)) × 100%

Question 19

What is the formula for finding the time taken when people work in parallel?

Answer 19

Time = 1 / (1/Time1 + 1/Time2 + …)

Question 20

How do you calculate the number of days required to complete a work?

Answer 20

Days required to complete work = 1 / Work done in 1 day

Question 21

What is the relationship between efficiency and time taken?

Answer 21

Efficiency is inversely proportional to the time taken. (Efficiency α 1 / Time taken)

Question 22

What is the formula to compare the work done by different groups of people?

Answer 22

M1 * D1 * T1 * E1 / W1 = M2 * D2 * T2 * E2 / W2

Question 23

In the formula for comparing work done by different groups, what do M1, D1, T1, E1, W1 represent?

Answer 23

M1 represents the number of persons, D1 represents the number of days, T1 represents the number of hours each day, E1 represents the efficiency, and W1 represents the work done by the first group.

Question 24

In the formula for comparing work done by different groups, what do M2, D2, T2, E2, W2 represent?

Answer 24

M2 represents the number of persons, D2 represents the number of days, T2 represents the number of hours each day, E2 represents the efficiency, and W2 represents the work done by the second group.