# What is the Distance of His School from His House?

If a student walks from his house to school at 5 km/hr, he is late by 30 minutes. However he walks at 6km/hr, he is late by 5 minutes. The distance of his school of his house is

- 2.5 km
- 3.6 km
- 5.5 km
- 12.5 km

**Answer:(4) 12.5 km**

Let be the distance from his home to school = X km

According to question,

X/5 + 30 /60 = X/6 + 5/60

X/5 – X/6 = 1/12 – 1/2

X/30 = 5/12 [time is always positive]

X = 5/12 x 30 = 12.5

**X = 12.5 km Ans.**

Hence, the distance from his school to his house **12.5 km.**