Question

A students walks from his house at 5km/ h and reaches his school 10 min late .If his speed had being 6 km/h he woud have reach 15 min early . Then find the distance between school and his house?

Answer 1

Answer:

Hence, the distance between school and his house is 12.5 km

Step-by-step explanation:

Hi,

Let the distance between school and home be 'x' km.

Time taken to reach school if student walks at 5 kmph will be x/5 hr

Time taken to reach school if student walks at 6 kmph will be x/6 hr.

Given that (x/5 - x/6) hr = 25 min

Converting minutes into hours, we get

25 minutes = 25/60 hr = 5/12 th of hour

Hence x/5 - x/6  = 5/12

=> x/30 = 5/12

=> x = 25/2 or

x = 12.5 km.

Hence, the distance between school and his house is 12.5 km.

Hope, it helps !