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Q.

Two athletes cover the same distance at the speed of 30 kmph and 32 kmphs respectively. Find the distance travelled by them if one takes 15 minutes longer than the other.

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a

120 km

b

150 km

c

160 km

d

200 km

answer is A.

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Detailed Solution

Total distance = x km

Time to complete the distance with 32 kmph = t hrs

$\frac{x}{32} = t, \frac{x}{30} = t + \frac{15}{60}$

$\frac{x}{30} = \frac{x}{32} + \frac{15}{60}$

$\frac{x}{30} - \frac{x}{32} = \frac{1}{4}$

$\frac{16 x - 15 x}{480} = \frac{1}{4}$

$\frac{x}{120} = 1$

$x = 120 k m$

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Two athletes cover the same distance at the speed of 30 kmph and 32 kmphs respectively. Find the distance travelled by them if one takes 15 minutes longer than the other.