**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.

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 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.**

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