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 di

Question

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.

Accepted Answer

Step 1: Let walking speeds be $x$ km/hr and $y$ km/hr ($x > y$).
Walking towards each other: $2x + 2y = 16$
Step 2: Walking in same direction: $8x - 8y = 16$
Step 3: Solving: $x + y = 8$ and $x - y = 2$
$\Rightarrow x = 5$, $y = 3$
Speeds are $5$ km/hr and $3$ km/hr.

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