Question

Walking at three - fourth of his usual speed. What is the time taken by him cover the same distance with his usual speed?​

Answer 1

Answer:

It will take 4/3 of the usual time

Answer 2

Answer:

Correct Question:

Walking at three - fourth of his usual speed, a man covers distance in 2 hours more than the time he takes to cover the distance at his usual speed. What us the time taken by him cover the same distance with his usual speed?

Solution:

Let the usual speed be x km/hr and time taken be y hours. Then,

Distance covered = (x × y) km

New speed

$= \frac{3}{4} {x} \: \: \frac{km}{hr}$

New time taken =

$(y + 2) \: \: hours$

Therefore distance covered

$= \frac{3}{4} {x}(y + 2) \: km$

Since distance covered us the same.

$xy = \frac{3}{4} x(y + 2) \\ \\ = > 4xy = 3xy + 6x \\ \\ xy = 6x \\ \\ = > y = 6 \: \: hours$

Hence, the time taken by him to cover the same distance with his usual speed is 6 hours.