Question 80

A farmer travelled a distance of 61 km in 9 hrs. 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

Solution

Let the distance travelled on foot be $$x km$$

=> Distance travelled on bicycle = $$(61-x) km$$

Time taken to travel on foot = $$\frac{x}{4}$$ hrs

Time taken to travel on bicycle = $$\frac{61-x}{9}$$ hrs

=> Total time = 9 = $$\frac{x}{4} + \frac{61-x}{9}$$

=> $$9x + 244 - 4x = 324$$

=> $$5x = 324-244$$

=> $$x = \frac{80}{5} = 16$$ km

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