In a linear race of 1000 m, A beats B by 50 m or 5 seconds. What is the difference between the speeds (in m/s) of A and B?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e.
If 5 more seconds are given to B, it can complete 50 m distance, speed of B = 50/5 = 10 m/s
B can complete the 1000 m distance, time = 1000/10 = 100 seconds
A took 5 seconds less than B, time taken by A = 100 - 5 = 95 seconds
Speed of A = 1000/95 = 200/19
Required difference = Speed of A - speed of B
⇒ 200/19 - 10
⇒ (200 - 190)/19 = 10/19.