Question 61

Two persons A and B are at two P and Q,respectively. A walks at ‘V’ km/h and B is 2 km/h faster then A, starting simultaneoausly from where they stand.If they walk towards each other,they meet in 72 minutes.If they walk in the same direction the faster over takes the slower in 6 hours .what are they respective speeds in km/h?

Solution

Speed of A = V

Speed of B = V + 2

Let the distance between points P and Q = D

Now,

$$\frac{D}{V + (V + 2)} = \frac{72}{60} = 1.2$$

D = 1.2(2V + 2)

D = 2.4V + 2.4 .......... (1)

$$\frac{D}{(V + 2) - V} = 6$$

D = 12 ......... (2)

From (1) and (2):

12 = 2.4V + 2.4

V = 4

Speed of A = V = 4 km/h

Speed of B = V + 2 = 6 km/h

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