Question

A farmer travelled a distance is $61$ km. an average speed of $4$ km/hr and partly on bicycle at an average speed of $9$ km/hr and total distance travel in $9$ hr, then find the distance travelled by him on foot.

• A. $14$ km
• B. $15$ km
• C. $16$ km
• D. $17$ km

Answer 1

The correct option is C $16$ km

Let x km be the distance travel by farmer on his foot

Then distance travels on bicycle is (61-x)km

$\therefore$Total time =$t_1+t_2$

$⟹9=\frac{x}{4}+\frac{(61-x)}{9}$

$⟹9=\frac{9x+4(61-x)}{36}⟹5x+244=324⟹5x=80⟹x=16km$