Question

X and Y are two towns. A man goes from town X to town Y at an average speed of km per hour and returns at an average speed of km per hour. Find the distance between the two towns if a man takes hours on the whole.

A

km

B

km

C

km

D

km

Medium

Solution

verified
Verified by Toppr
Correct option is
B

km


Let the distance from X to Y be
Let the time taken from X to Y at a speed of be
Therefore,Β 



And,Β Let the time taken from Y to X at a speed of be
Therefore,Β 

Therefore,

Β  Β  ..............(i)

Now, the total time taken is
Therefore, Β  Β .................(ii)
Substituting equation i in ii, we get



Substituting in we get


Was this answer helpful?

upvote 0
downvote0