A person travels between ‘A’ & ‘B’ at 3 km per hour and returns from ‘B’ to ‘A’ at 5 km. per hour. He took 8 hours for the journey. What is the distance between ‘A’ and ‘B’?

Ashifur August 8, 2023 - 14:20

Problem: A person travels between ‘A’ & ‘B’ at 3 km per hour and returns from ‘B’ to ‘A’ at 5 km. per hour. He took 8 hours for the journey. What is the distance between ‘A’ and ‘B’?

View all: AB BANK LTD. | PROBATIONARY OFFICER | WRITTEN QUESTION (MATH) SOLVE | 1997

Correct Answer: 15 km

Explanation:

Let, the distance between A and B is x km

The man travels between A and B 3 km in 1 hour

The man travels between A and B x km in $\frac{x}{3}$ hour

The man returns from B to A at the rate of 5 km. per hour

He takes time $\frac{x}{5}$ hour for return

According to question,-

$\frac{x}{3} + \frac{x}{5}$ = 8

=> x = $\frac{8\cdot15}{8}$

x = 15km

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