Question

leaving home at the same time if she walks to school at 3 km/hr she reaches 10 min late if she cycle to school at 6km/hr she reaches15 min early how far is the school from the home

Answer 1

let time=X
distance=y
A.T.Q
3*(x+10)=y
3x+30=y
3x-y=30
x=30+y/3
6*(x-15)=y
6x-90=y
6(30+y/3)-90=y
60-90+2y=y
2y-y=30=y
distance=30km