Numerical Reasoning Speed, Distance, and Time 3

Question 1

A car travels 360 km in 4.5 hours. How far would it travel in 7.5 hours at the same speed?

Accepted Answer

600 km

Answer

Speed = 360 ÷ 4.5 = 80 km/h; Distance = 80 × 7.5 = 600 km.

Question 2

Two people start from points 300 km apart and walk toward each other. One walks at 12 km/h and the other at 18 km/h. How many hours until they meet?

Accepted Answer

10 hours

Answer

Combined speed = 12 + 18 = 30 km/h; Time = 300 ÷ 30 = 10 hours.

Question 3

A truck travels the first half of a journey at 40 km/h and the second half at 60 km/h. What is the average speed for the entire trip?

Accepted Answer

48 km/h

Answer

Harmonic mean: 2 × 40 × 60 ÷ (40 + 60) = 4800 ÷ 100 = 48 km/h.

Question 4

A train passes a 600 m bridge in 30 seconds and a 300 m bridge in 18 seconds. What is the train's speed in m/s?

Accepted Answer

25 m/s

Answer

Setting (L+600)/30 = (L+300)/18 gives L = 150 m; Speed = (150+600)/30 = 25 m/s.

Question 5

A plane flying at 900 km/h takes 2 hours 20 minutes to travel from city X to city Y. How long does a plane flying at 750 km/h take to cover the same distance?

Accepted Answer

2 hr 48 min

Answer

Distance = 900 × (7/3) = 2100 km; Time = 2100 ÷ 750 = 2.8 hours = 2 hr 48 min.

Numerical Reasoning Practice Test

Numerical Reasoning Practice Test

Numerical Reasoning Speed, Distance, and Time 3