# How far is the School from Student House? If

A student walks from his house at 2.5 km/h and reaches his school late by 6 min. Next day, he increases his speed by 1 km/h and reaches 6 min before school time. How far is the school from his house?

- 5/4 km
- 7/4 km
- 9/4 km
- 11/4 km

**Answer: (2) 7/4 km**

**Explanation:-**

Let the distance the school from his house is X km.

According to the question,

X x 2/5 + 6/60 = X x 2/7 – 6/60

2 X/5 – 2 X/7 = 1/10 + 1/10

(2 X x 7 – 2 X x 5 )/35 = (1 + 1)/10

(14 X – 10 X )/35 = 2/10

4 X/35 = 1/5

4 X = 35/5

4 X = 7

X = 7/4 km

Hence, the answer is (2) 7/4 km.