If a man reduces his speed to 2/3, he takes 1 hour more in walking a certain distance.The time (in h

If a man reduces his speed to 2/3, he takes 1 hour more in walking a certain distance.
The time (in hours) to cover the distance with his normal speed is :

A. 2

B. 1

C. 3

D. 1.5

E. None of the above

Answer: A. 2

Suppose man covers x km in y hours.
His normal speed = ^x/_y km/hr
Reduced speed = ^2x/_3ykm/hr.

Time taken to cover x km = ^x/_{2x / 3y}hrs
= ^3y/₂ hrs.

By hypothesis,
= ³/₂y = y + 1
or
y = 2hrs

Posted in: Time, Distance and Speed - Aptitude - Mathematics

If a man reduces his speed to 2/3, he takes 1 hour more in walking a certain distance.The time (in hours) to cover the distance with his normal speed is :

If a man reduces his speed to 2/3, he takes 1 hour more in walking a certain distance.
The time (in hours) to cover the distance with his normal speed is :