1)

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is :


A) 14 km

B) 18 km

C) 16 km

D) 20 km

E) 12 km

Answer:

Option C

Explanation:

Let the distance travelled on foot be $x$ km. Then, distance travelled on bicycle $=(61-x)$ km.

So, $\left(\frac{x}{4}+\frac{61-x}{9}=9\right)$ $\Leftrightarrow 9x+4(61-x)$ $=9\times 36$

$\Leftrightarrow 5x = 80$ $\Leftrightarrow x = 16$ km.