Question

a man travel to his office by a car at a speed of 40 km/hr. and reaches office 9 minutes late if he drives a car at a speed of 50 km per Hr he reached 6 minute early what is the distance from his home

Answer 1

Answer:

The distance from his home is 50 km.

Step-by-step explanation:

Let the distance from his home be d and time be t.

$time=\frac{distance}{speed}$

It is given that a man travel to his office by a car at a speed of 40 km/hr. and reaches office 9 minutes late.

$t+\frac{9}{60}=\frac{d}{40}$

$t=\frac{d}{40}-\frac{9}{60}$                    .... (1)

If he drives a car at a speed of 50 km per Hr he reached 6 minute early.

$t-\frac{6}{60}=\frac{d}{50}$

$t=\frac{d}{50}-\frac{6}{60}$                    .... (2)

Equating (1) and (2), we get

$\frac{d}{40}-\frac{9}{60}=\frac{d}{50}-\frac{6}{60}$

$\frac{d}{40}-\frac{d}{50}=\frac{9}{60}-\frac{6}{60}$

$\frac{10d}{2000}=\frac{15}{60}$

$\frac{d}{200}=\frac{1}{4}$

$d=50$

Therefore the distance from his home is 50 km.

Answer 2

the distance from his home is 50 km