A person covers a distance 100 Kms in 10 hours, partly by walking at 7 Km/h and rest by running at 12 Km/h. Find the distance covered in each part.

28 Km, 72 Km

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32 Km, 82 Km

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24 Km, 68 Km

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26 Km, 70 Km

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None of the above

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Solution

The correct option is A 28 Km, 72 Km
Average speed = $\frac{100}{10} = 10 K m / h$

Ratio of time taken at 7 Km/h to 12 Km/h =2 : 3.
Time taken at 7 Km/h
$= \frac{2}{2 + 3} \times 10 = 4$ hours.
Distance covered at 7 Km/h
$= 7 \times 4 = 28 K m$
Distance covered at 12 Km/h
$100 - 28 = 72 K m$

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