Question

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. 15 km
• C. 16 km
• D. 17 km

Answer 1

Answer: (C)

16 km

Let the distance travelled on foot be x km.
Then, distance travelled on bicycle = (61 -x) km.
So, $\frac{x}{4}+\frac{(61-x)}{9}=9$
$\Rightarrow$ 9x + 4(61 -x) = 9 $\times$ 36
$\Rightarrow$ 5x = 80
$\to$x = 16 km.