A person goes to his office at 1/3rd of the speed at which he returns from his office. if the average speed during the whole trip is 12 m /h . what is the speed of the person while he was going to his office?
Answers
Answered by
7
let the distance between the house and the office be S
and the speed at which he goes to office x/3 km/hr
therefore the speed at which he comes from the office is x km/hr
time taken to reach office = S/(x/3) hr
time taken to come back from office = S/x hr
we know ,
average speed= total distance / total time
⇒ 12 = S+S/(3S/x)+(S/x)
⇒ 12 = 2S÷4S×x
⇒ 12 =2Sx/4S
⇒12=x/2
∴x=24 km/hr
∴speed while going to office = x/3
= 24/3
=8 km/hr
Similar questions