Question

A student goes to his school at the rate of 3 km/hr and reaches 5 minutes late. If he tra
speed of 4 km/hr, he reaches 5 minutes early. What is the distance of his school from his hc​

Answer 1

Step-by-step explanation:

If A travels to his school from his house at the speed of 3 km/h, then he reaches the school 5 minutes late. If he travels at the speed of 4 km/h, he reaches the school 5 minutes earlier than school time. The distance of his school from his house is:

A. 1 km

B. 2 km

C. 3 km

D. 4 km

Answer: Option B

Solution(By Examveda Team)

Let the distance between school and home be x km.

The difference of time when A goes school to school with these two different speed is 10 min

$$\eqalign{ & = \frac{{10}}{{60}}\,{\text{hour}} \cr & {\text{Now,}} \cr & {\frac{x}{3}} - {\frac{x}{4}} = \frac{{10}}{{60}} \cr & {\text{Or}},\,\frac{x}{{12}} = \frac{1}{6} \cr & {\text{Or}},\,x = \frac{{12}}{6} \cr & = 2\,{\text{km}} \cr} $$