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.

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Solution

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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