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:

VIDEO SOLUTION

STEP BY STEP SOLUTION

Let their speeds and kmph.

Let’s start with 1st case of “Walking in opposite direction”

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 be differential speed.

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.

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