A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate 4 kmph and partly on bicycle at the rate 9 kmph. The distance travelled on foot is

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A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate 4 kmph and partly on bicycle at the rate 9 kmph. The distance travelled on foot is

A16 km

B14 km

C17 km

D15 km

Answer:

A. 16 km

Read Explanation:

Let the distance he travelled on foot = x km Then the distance he travelled on bicycle = (61 – x) km (x/4) + [(61 – x)/9] = 9 9x + 4 × 61 – 4x = 36 × 9 5x + 244 = 324 x = 80/5 = 16 km

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