Speed Time and Distance Test Paper 2

6) Two boys start running at the same time in the same direction at a speed of 10 km/hr and 12 km/hr respectively. In what time they will be 8 km apart?

3 hours
4 hours
5 hours
6 hours

The correct answer is (B)

Answer with explanation:

Both the boys are in motion so we will consider relative speed to find the time.

Relative speed = 12 - 10 = 2 km/hr

Distance = 8 km

Time =⁸⁄₂= 4 hours (Option B)

7) A man walking at a speed of 8 km/hr covers a certain distance in 1 hour 45 minutes. If he runs at a speed of 10 km/hr, in what time he will cover the same distance?

74 minutes
70 minutes
80 minutes
84 minutes

The correct answer is (D)

Answer with explanation:

Distance = Speed * Time

Speed = 8 km/hr

Time = 1 hour 45 minutes = ¹⁰⁵⁄₆₀minutes =²¹⁄₁₂ hrs

Distance = 8 *²¹⁄₁₂=¹⁶⁸⁄₁₂= 14 km

Time required to cover the 14 km at a speed of 10 km/hr =

Time in minutes = 1.4 * 60 = 84 minutes (Option D)

8) A horse covers a certain distance in 40 minutes if it runs at a speed of 60 km/hr. At what speed the horse can cover the same distance in 30 minutes?

80 km/hr
82 km/hr
84 km/hr
86 km/hr

The correct answer is (A)

Answer with explanation:

Distance = Speed x Time

Speed = 60 km/hr

Time = 40 minutes →⁴⁰⁄₆₀hrs

Distance = 60 *⁴⁰⁄₆₀=²⁴⁰⁰⁄₆₀ = 40 km

Speed of horse to cover 40 km in 30 minutes or ³⁰⁄₆₀hrs would be:

9) A car moving at a speed of 75 km/hr covers certain distance in 2 hours. If its speed is reduced by 15 km/hr, in what time it will cover the same distance?

135 minutes
140 minutes
150 minutes
155 minutes

The correct answer is (C)

Answer with explanation:

Distance = speed x time

= 75 * 2 = 150 km

New speed = 75 -15= 60 km/hr

Required time =¹⁵⁰⁄₆₀=⁵⁄₂hrs

We need answer in minutes:

⁵⁄₂*60=³⁰⁰⁄₂= 150 minutes (Option C)

10) At his usual speed a cyclist covers a certain distance in 8 hours. When the speed of cycle is increased by 4 km/hr the same distance can be covered in 6 hours. Find the distance.