An explorer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 km/hr. and partly on bicycle at the rate of 9 km/hr. The distance travelled on foot is

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16 km

14 km

15 km

7 km

answer is A.

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Detailed Solution

Let the distance travelled on foot is x km.

$∵$ Distance travelled on bicycle = 61 - x

According to question,

$\begin{array}{l} \frac{x}{4} + \frac{61 - x}{9} = 9 \\ \Rightarrow 9 x + 4 (61 - x) = 9 \times 36 \\ \Rightarrow 9 x + 244 - 4 x = 324 \\ \Rightarrow 5 x = 80 \\ \Rightarrow x = 16 km \end{array}$

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