A car takes $4 h o u r s$ to travel from Bangalore to Chennai, whereas a flight takes only $30 m i n u t e s$ to travel from Bangalore to Chennai. If the distance from Bangalore to Chennai by road is $400 k m$ and by air is $150 k m$ , find the average speed of flight and the average speed of car respectively.

300 k m h^{- 1}, 37.5 k m h^{- 1}

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300 k m h^{- 1}, 120 k m h^{- 1}

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300 k m h^{- 1}, 200 k m h^{- 1}

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300 k m h^{- 1}, 100 k m h^{- 1}

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Solution

The correct option is D $300 k m h^{- 1}, 100 k m h^{- 1}$
Given:
Time taken by car, $t_{c} = 4 h r$
Distance travelled by car, $d_{c} = 400 k m$
Time taken by flight, $t_{f} = 30 m i n u t e s = 0.5 h r$
Distance travelled by flight $d_{f} = 150 k m$

By definition,
$Average speed = \frac{Total distance}{Total time}$

Hence, Average speed of flight:
$v_{f} = \frac{d_{f}}{t_{f}}$
$v_{f} = \frac{150 k m}{0.5 h r} = 300 k m h r^{- 1}$
Similarly, Average speed of car:
$v_{c} = \frac{d_{c}}{t_{c}}$
$v_{c} = \frac{400 k m}{4 h r} = 100 k m h r^{- 1}$

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A car takes 4 hours to travel from Bangalore to Chennai, whereas a flight takes only 30 minutes to travel from Bangalore to Chennai. If the distance from Bangalore to Chennai by road is 400 km and by air is 150 km, find the average speed of flight and the average speed of car respectively.