Question

If Ram walks from his house to school at
the rate 3 km/hr, he reaches 15 minute
late. If he walks at 4 km/hr, he reaches
15 minutes earlier than the scheduled
time. The distance between his house and
school is
(a) 3 km
(b) 6 km
(c) 7 km
(d) 20 km​

Answer 1

Answer:

The distance from Ram’s house to his school is 10/3 or 3.33 km.

Step-by-step explanation:

Lets assume the distance from Ram’s house to the school be X.

When Ram travels at 5 kmph he takes X/5 hours to reach his school.

When Ram travels at 4 kmph he takes X/4 hours to reach his school.

We know that the difference between the time taken with the first case (5 kmph) and the second case (4 kmph) is 10 minutes (5 minutes early v/s 5 minutes late).

10 minutes is 1/6 th of an hour.

Therefore, X/4 - X/5 = 1/6.

This can be rewritten as :

X/20 = 1/6 or X = 20/6 = 3.33 km.

Therefore the distance from Ram’s house to his school is 10/3 or 3.33 km.

PLEASE MARK BRAINLIEST