Question

The ratio between the rates of walking of A and B is $2:3$. If the time taken by B to cover a distance is $24$ minutes, find the time taken by A to cover the same distance.

• A. 12 minutes
• B. 36 minutes
• C. 24 minutes
• D. 48 minutes

Answer 1

Answer: (B)

Ratio of the speeds of A and B $=$ 2 : 3.
Let the speed of $A=2x$ km/min
Hence the speed of $B=3x$ km/min
B takes 24 minutes to cover some distance.
Hence, $Distance=Time\times Speed=24\times 3x=72x$
For A,
$Time=\frac{Distance}{Speed}=\frac{72x}{2x}=36$
Hence, the time taken by A to cover the same distance is 36 minutes.