# Aptitude - Aptitude- Speed

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In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same staring point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race ?

• • • • a
• b
• c
• d

A travels from B to C a distance of 250 miles in 5.5 hours. He returns to B in 4 hours 40 minutes. His average speed is ?

• • • • a
• b
• c
• d

Total distance = 250 + 250 = 500 miles

Total time = 5 hr 30 min + 4 hr 40 min = 10 hr 10 min = 10 (1/6)

Speed = distance / time

Speed = 500 / 10(1/6) = 3000 / 61

Average speed = 49.18 ≈ 50

Walking at the rate of 4 kmph a man cover certain distance in 2hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in ?

• • • • a
• b
• c
• d

From the problem we understand that the distance is same in both scenarios. Only speed and time vary.

While walking, distance1 = speed1 x time1

While running, distance2 = speed2 x time2

distance1 = distance2

speed1 x time1 = speed2 x time2

4 x 2 hr 45 min = 16.5 x time2

4 x 165 = 16.5 x time2 (Changing time in minutes)

time2 = 40 min.

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:

• • • • a
• b
• c
• d

A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is ?

• • • • a
• b
• c
• d