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
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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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