Linear Equations-algebraic method-eleventh grade-4

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A and B start from the same place P at the same time, and walk towards Q at 4 and 3 km an hour respectively.
A reaches Q two hour before B. Find the distance from P to Q.

Solution: Let time taken by B to reach Q be x hours. Time taken by A to reach Q is (x - 2) hours.

Therefore, 4(x – 2) = 3x

4x – 8 = 3x

Implies, 4x – 3x= 8

Therefore, x = 8

Distance PQ = 3x = 3 X 8 = 24 km.

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