Question:
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate 4 kmph and partly on bicycle at the rate 9 kmph. The distance travelled on foot is
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate 4 kmph and partly on bicycle at the rate 9 kmph. The distance travelled on foot is
Updated On: Apr 14, 2026
- \(16\) km
- \(14\) km
- \(15\) km
- \(13\) km
- \(18\) km
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Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Concept:
- Time = Distance / Speed
- Total time = sum of individual times
Step 1: Let distance on foot = \(x\).
\[ \text{Distance by cycle} = 61 - x \]
Step 2: Form equation.
\[ \frac{x}{4} + \frac{61 - x}{9} = 9 \]
Step 3: Solve.
LCM = 36: \[ 9x + 4(61 - x) = 324 \] \[ 9x + 244 - 4x = 324 \Rightarrow 5x = 80 \Rightarrow x = 16 \]
Step 4: Option analysis.
- (A) Correct \checkmark
- (B) Incorrect $\times$
- (C) Incorrect $\times$
- (D) Incorrect $\times$
- (E) Incorrect $\times$
Conclusion:
Thus, the correct answer is
Option (A).
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