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A farmer travelled a distance of 61 km. in a 9 hours. He travelled partly on foot at the rate of 4 km. per hour and partly on bicycle at the rate of 9 km. per hour. The distance travelled on foot is:
  • a)
    17 km.
  • b)
    16 km.
  • c)
    15 km.
  • d)
    14 km.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A farmer travelled a distance of 61 km. in a 9 hours. He travelled par...
If t is the time travelled on foot, then 9-t is the time taken on the bicycle.
The distance travelled on foot + the distance travelled on bicycle=total distance travelled
thus, 4t + (9-t)9=61 , distance travelled=Speed x time
On solving we get t=4
So the distance travelled on foot=4x4=16 km
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Most Upvoted Answer
A farmer travelled a distance of 61 km. in a 9 hours. He travelled par...
Given information:
- Distance travelled by the farmer = 61 km
- Total time taken = 9 hours
- Speed on foot = 4 km/h
- Speed on bicycle = 9 km/h

Approach:
- Let's assume the distance travelled on foot is x km.
- The remaining distance travelled on bicycle would be (61 - x) km.
- We can use the formula: Distance = Speed × Time to calculate the time taken for each segment of the journey.
- We know that the total time taken is 9 hours, so we can write the equation: x/4 + (61 - x)/9 = 9.
- We can solve this equation to find the value of x, which will give us the distance travelled on foot.

Solution:
Let's solve the equation x/4 + (61 - x)/9 = 9 to find the value of x.

Multiplying the equation by 36 to eliminate the fractions:
9x + 4(61 - x) = 9 × 36
9x + 244 - 4x = 324
5x = 324 - 244
5x = 80
x = 80/5
x = 16

Therefore, the distance travelled on foot is 16 km. Hence, option 'B' is the correct answer.
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A farmer travelled a distance of 61 km. in a 9 hours. He travelled partly on foot at the rate of 4 km. per hour and partly on bicycle at the rate of 9 km. per hour. The distance travelled on foot is:a)17 km.b)16 km.c)15 km.d)14 km.Correct answer is option 'B'. Can you explain this answer?
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A farmer travelled a distance of 61 km. in a 9 hours. He travelled partly on foot at the rate of 4 km. per hour and partly on bicycle at the rate of 9 km. per hour. The distance travelled on foot is:a)17 km.b)16 km.c)15 km.d)14 km.Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A farmer travelled a distance of 61 km. in a 9 hours. He travelled partly on foot at the rate of 4 km. per hour and partly on bicycle at the rate of 9 km. per hour. The distance travelled on foot is:a)17 km.b)16 km.c)15 km.d)14 km.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A farmer travelled a distance of 61 km. in a 9 hours. He travelled partly on foot at the rate of 4 km. per hour and partly on bicycle at the rate of 9 km. per hour. The distance travelled on foot is:a)17 km.b)16 km.c)15 km.d)14 km.Correct answer is option 'B'. Can you explain this answer?.
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