Problems for Evaluation

Question 1

Set 1 Problem 4: A piece of wire 10 cm long is cut into 2 pieces. One piece is bent into a square and the other is bent into an equilateral triangle. Find the length of the wire to be bent to a square so that the total area enclosed by the 2 figures is a maximum?

Answer 1

Use all the wire for the square (p. 7, 8)

Question 2

Set 1 Problem 14: There are 8 vehicles observed in a 250 m section N. Bacalso Avenue. Given that the average time headway is 3.6 seconds, compute the space mean speed, in kph.

Answer 2

31.25 kph (p. 9)

Question 3

Set 3 Problem 24: At the entrance of a racetrack a flag is located. Another flag is located inside the track and at a distance of half a mile from the first. A jockey notes that no matter where he is on the track, one flag is 3 times as far away as the other. How long is the track, in ft?

Answer 3

1,980π ft (p. 45)

Question 4

Set 5 Problem 5: A horizontal curve has a design speed of 40 mph. Find the radius of the curve if the rate of super elevation is, e = 0.12 m/m and the side-friction factor, f = 0.20.

Answer 4

118 m (p. 78)

Question 5

Set 5 Problem 39: In triangle ABC, angle C = 70°, A = 45°, and AB = 50 m. What is the length of the median drawn from vertex A side to side BC?

Answer 5

69.3 m (p.83)

Question 6

Set 10 Problem 49: The hour hand of the clock is 1 ft long and the minute hand is 1.6 ft long. At what rate in ft/min are the ends of the hands approaching each other at 2 o’clock p.m.?

Answer 6

0.095 in/min (p. 170)