A car covers 30 km at a uniform speed of $60 k m h^{- 1}$ and the next 30 km at a uniform speed of $40 k m h^{- 1}$ . Find the total time taken.

30 min

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45 min

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75 min

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120 min

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Solution

The correct option is B 75 min
Distance, $D_{1} = 30 k m$

Speed $s_{1} = 60 k m / h r$

$t i m e = \frac{30}{60} = \frac{1}{2} h r$

Distance $D_{2} = 30 k m$

Speed $s_{2} = 40 k m / h r$

Time, $t_{2} = \frac{30}{40} = \frac{3}{4} h r$

Total time $T = t_{1} + t_{2} = \frac{1}{2} + \frac{3}{4} = \frac{5}{4} h r = \frac{5 * 60}{4} m i n = 75 m i n$

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