A car takes $4 h o u r s$ to travel from Bangalore to Chennai, whereas the 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 average speed of car in the same order.

300 k m h^{- 1}, 150 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}, 100 k m h^{- 1}

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

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Solution

The correct option is C $300 k m h^{- 1}, 100 k m h^{- 1}$
We know that
$A v e r a g e s p e e d = \frac{T o t a l d i s t a n c e}{T o t a l t i m e}$

For Car,
Given,
Time taken by car $= 4 h$
Distance travelled by car $= 400 k m$
Hence,
$A v e r a g e s p e e d_{c a r}$ = $\frac{400}{4} = 100 k m h^{- 1}$

For Flight,
Given,
Time taken by flight = $30 m i n u t e s$ $= 30 m i n u t e s \times \frac{1}{60 m i n u t e s} h = 0.5 h$
Distance travelled by flight $= 150 k m$
Hence,
$A v e r a g e s p e e d_{f l i g h t}$ = $\frac{150}{0.5} = 300 k m h^{- 1}$

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A car takes 4 hours to travel from Bangalore to Chennai, whereas the 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 average speed of car in the same order.