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A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require for walking a 40 km distance?

A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require for walking a 40 km distance? Correct Answer 7

Given:

A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B.

Concept Used:

Time = Distance/ Speed

Calculation:

Let, Speed of A is x km/h

Time taken by A to cover the distance 40/x hour

Time taken by B (40/x - 2.5) hours

When A doubles his speed time taken by A 40/2x hour

Accordingly,

  – (40/2x) = 1

⇒ (40/x) – (40/2x) = 3.5

⇒ 40/2x = 7/2

⇒ x = 40/7

Time taken by A to cover the distance 40 ÷ (40/7) 

⇒ 7 hours

∴ A needs 7 hours to walk a 40 km distance.

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