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A person divides his total route of journey into three equal parts and decides to travel them at the speeds of 80 kmph, 60 kmph and 30 kmph respectively. If he completes the total journey in 6 hours. Find the total distance travelled.

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586 km

288 km

1440 km

340 km

answer is B.

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Detailed Solution

Average Speed $= \frac{3 A B C}{A B + B C + C A} k m p h$

$= \frac{3 \times 80 \times 60 \times 30}{80 \times 60 + 60 \times 30 + 30 \times 80}$

$= \frac{432000}{4800 + 1800 + 2400}$

$= \frac{432}{9} = 48 k m p h$

Total Journey $= S p e e d \times T i m e$

$= 48 \times 6$

$= 288 k m$

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