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?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)

Answer 1

Given:

In a linear race of 1000 m, A beats B by 50 m or 5 seconds.

Concept used:

Speed = Distance/Time

Calculation:

According to the question,

When A covers 1000 m B covers 950 m

Also, B covers 50 m in 5 sec

So, the speed of B = 10 m/sec

So, to cover 950 m B will take 950/10

⇒ 95 sec

Again,

Speed of A = 1000/95 [As the time of covering 1000 m by A is the same as covering 950 m by B]

⇒ 200/19 m/sec

Difference = \({200 \over 19}\) - 10

⇒ \({200-190 \over 19}\)

⇒ \({10 \over 19}\)

∴ The difference between the speeds (in m/s) of A and B is \({10 \over 19}\).