A boy goes from home to school at the rate of 3 km./hr. and come back from school to home at the speed of 2 km./hr. If he takes five hours in coming and going, then what is the distance between home and school?
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Answer: 6 km
Step-by-step explanation:
let distance be d km
s1 = 3km/h s2 = 2km/h
d = d km d = d km
t1 = d/s = d/3 t2 = d/s = d/2
total time = t1+t2 = 5
= d/2 + d/3 = 5
= 3d + 2d / 6 = 5
= 5d = 30
= d = 30/5 = 6 km
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