# What is the Distance from his School to House? If

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

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

**Answer: (4) 12.5 km**

**Explanation:-**

Let the distance be X km.

According to the question,

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

X/5 – X/6 = 1/12 – 30/60

X(6 – 5)/30 = (5 – 30)/60

X/30 = – 25/60

X = – 25 x 30/60

X = – 12.5 km

X = 12.5 km (As we know that the distance is always positive)

Hence, the answer is (4) 12.5 km.