Question : A farmer travelled a distance of 61 kilometres in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. The distance travelled on foot is:
Option 1: 16 km
Option 2: 14 km
Option 3: 17 km
Option 4: 15 km
Correct Answer: 16 km
Solution :
Given: A farmer travelled a distance of 61 kilometres in 9 hours.
He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr.
Let the time taken on foot be $x$ hr.
Distance = Speed × Time
So, distance travelled on foot = $4×x$ km
The time taken on the bicycle is $(9-x)$ hr.
Distance travelled on bicycle = $9×(9-x)$ km
Total distance = $4x+9(9-x)$ km
According to the given condition,
$4x+9(9-x) = 61$
⇒ $4x+81-9x = 61$
⇒ $81-61 = 5x$
⇒ $x=\frac{20}{5}=4$
Distance travelled on foot = 4 × 4 = 16 km
Hence, the correct answer is 16 km.
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