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A man travels 600 km by a train at 80 km/hr, 800 km by ship at 40 km/hr, 500 km by aeroplane at 400 km/hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance ?

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60 km/hr

65.04 km/hr

30 km/hr

36 km/hr

answer is B.

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Detailed Solution

$T o t a l a v e r a g e s p e e d = \frac{T o t a l d i s \tan c e}{T o t a l t i m e} \Rightarrow \frac{600 + 800 + 500 + 100}{\frac{600}{80} + \frac{800}{40} + \frac{500}{400} + \frac{100}{50}}$

$\Rightarrow \frac{2000}{\frac{15}{2} + 20 + \frac{5}{4} + 2}$

$\Rightarrow \frac{2000 \times 4}{30 + 80 + 5 + 8} \Rightarrow \frac{8000}{123} = 65.04 k m / h r$

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