Numerical Reasoning Speed, Distance, and Time

Question 1

A car travels 120 miles in 2 hours. What is its average speed?

Accepted Answer

60 mph

Answer

Speed = Distance ÷ Time = 120 ÷ 2 = 60 mph.

Question 2

A train travels at 75 mph. How far does it travel in 4 hours?

Accepted Answer

300 miles

Answer

Distance = Speed × Time = 75 × 4 = 300 miles.

Question 3

A cyclist covers 45 km in 3 hours. At the same speed, how long will it take to cover 75 km?

Accepted Answer

5 hours

Answer

Speed = 45 ÷ 3 = 15 km/h; Time = 75 ÷ 15 = 5 hours.

Question 4

Two cars start from the same point and travel in opposite directions at 60 mph and 40 mph. After 3 hours, what is the distance between them?

Accepted Answer

300 miles

Answer

Combined speed = 60 + 40 = 100 mph; Distance = 100 × 3 = 300 miles.

Question 5

A person travels 60 miles at 30 mph and then 60 miles at 60 mph. What is the average speed for the entire trip?

Accepted Answer

40 mph

Answer

Total time = 2 + 1 = 3 hours; Average speed = 120 ÷ 3 = 40 mph.

Numerical Reasoning Practice Test