Q) Two people are 16 km apart on a straight road. They start walking at the same time. If they walk towards each other with different speeds, they will meet in 2 hours. Had they walked in the same direction with same speeds as before, they would have met in 8 hours. Find their walking speeds.

Ans: Let their speeds and kmph.

Since in Opposite direction, effective speed will gets added

Hence, effective speed =

Next, we know that time  taken =

Therefore, Time taken =

It is given that during opposite direction walking, time taken is 2 hours

Therefore,

……………… (i)

Next, Let’s take 2nd case of “Walking in same direction

Since in same direction, effective speed will gets subtracted

hence, effective speed =

Next, we know that time  taken =

Therefore, Time taken =

It is given that during same direction walking, time taken is 8 hours

Therefore,

……………… (ii)

By adding the equations (i) and (ii), we get:

By substituting value of in equation (i), we get:

Therefore the walking speeds are 5 km/hr and 3 km/hr.

Please do press “Heart” button if you liked the solution.

Scroll to Top