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Manish travels a certain distance by car at the rate of 12 km/h and walks back at the rate of 3km/h. The whole journey took 5 hours. What is the distance he covered on the car?
  • a)
    12 km
  • b)
    30 km
  • c)
    15 km
  • d)
    6 km
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Manish travels a certain distance by car at the rate of 12 km/h and wa...
You can solve this question using the options. Option (a) fits the given situation best as if we take
the distance as 12 km he would have taken 1 hour to go by car and 4 hours to come back walking
—a total of 5 hours as given in the problem.
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Manish travels a certain distance by car at the rate of 12 km/h and wa...
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Manish travels a certain distance by car at the rate of 12 km/h and wa...
Given:

- Manish travels a certain distance by car at the rate of 12 km/h and walks back at the rate of 3 km/h.
- The whole journey took 5 hours.

To find: What is the distance he covered on the car?

Solution:

Let's assume that the distance covered by car = x km.

Then, the distance covered by walking = x km.

Time taken to cover x km by car = x/12 hours.

Time taken to cover x km by walking = x/3 hours.

Total time taken = (x/12) + (x/3) = 5 hours.

Simplifying the above equation, we get:

(4x + 12x)/36 = 5

16x + 12x = 180

28x = 180

x = 6.43 km (approx)

Therefore, the distance covered by car = 6.43 km, which is closest to option A (12 km).

Hence, option A is the correct answer.
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Manish travels a certain distance by car at the rate of 12 km/h and walks back at the rate of 3km/h. The whole journey took 5 hours. What is the distance he covered on the car?a)12 kmb)30 kmc)15 kmd)6 kmCorrect answer is option 'A'. Can you explain this answer?
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