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Ram travels at the rate of 3 km/h and he reaches 15 minutes late. If he travels at the rate of 4 km/h, he reaches 15 minutes earlier. What is the distance Ram has to travel?
- a)1 km
- b)6 km
- c)7 km
- d)12 km
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Ram travels at the rate of 3 km/h and he reaches 15 minutes late. If h...
Difference in the time is 1/2 hour.
d/3 - d/4 = 1/2
∴ d = 6
Most Upvoted Answer
Ram travels at the rate of 3 km/h and he reaches 15 minutes late. If h...
Let's assume the distance Ram has to travel is 'd' km.
Given:
Ram travels at the rate of 3 km/h and reaches 15 minutes late.
Ram travels at the rate of 4 km/h and reaches 15 minutes earlier.
We can solve this problem by using the formula:
Time = Distance/Speed
1. Ram travels at the rate of 3 km/h and reaches 15 minutes late.
Let's calculate the time taken by Ram to cover the distance 'd' at a speed of 3 km/h.
Time taken = d/3
We know that Ram reaches 15 minutes late, so the actual time taken by Ram would be the time taken + 15 minutes converted into hours.
Actual time taken = d/3 + 15/60
2. Ram travels at the rate of 4 km/h and reaches 15 minutes earlier.
Let's calculate the time taken by Ram to cover the distance 'd' at a speed of 4 km/h.
Time taken = d/4
We know that Ram reaches 15 minutes earlier, so the actual time taken by Ram would be the time taken - 15 minutes converted into hours.
Actual time taken = d/4 - 15/60
According to the given information, the actual time taken in both cases is the same.
So, we can equate the two equations:
d/3 + 15/60 = d/4 - 15/60
Simplifying the equation:
4d + 15 = 3d - 15
d = 30
Therefore, the distance Ram has to travel is 30 km.
The correct option is (b) 6 km.
Given:
Ram travels at the rate of 3 km/h and reaches 15 minutes late.
Ram travels at the rate of 4 km/h and reaches 15 minutes earlier.
We can solve this problem by using the formula:
Time = Distance/Speed
1. Ram travels at the rate of 3 km/h and reaches 15 minutes late.
Let's calculate the time taken by Ram to cover the distance 'd' at a speed of 3 km/h.
Time taken = d/3
We know that Ram reaches 15 minutes late, so the actual time taken by Ram would be the time taken + 15 minutes converted into hours.
Actual time taken = d/3 + 15/60
2. Ram travels at the rate of 4 km/h and reaches 15 minutes earlier.
Let's calculate the time taken by Ram to cover the distance 'd' at a speed of 4 km/h.
Time taken = d/4
We know that Ram reaches 15 minutes earlier, so the actual time taken by Ram would be the time taken - 15 minutes converted into hours.
Actual time taken = d/4 - 15/60
According to the given information, the actual time taken in both cases is the same.
So, we can equate the two equations:
d/3 + 15/60 = d/4 - 15/60
Simplifying the equation:
4d + 15 = 3d - 15
d = 30
Therefore, the distance Ram has to travel is 30 km.
The correct option is (b) 6 km.
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Community Answer
Ram travels at the rate of 3 km/h and he reaches 15 minutes late. If h...
Difference in the time is 1/2 hour.
d/3 - d/4 = 1/2
∴ d = 6
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Ram travels at the rate of 3 km/h and he reaches 15 minutes late. If he travels at the rate of 4 km/h, he reaches 15 minutes earlier. What is the distance Ram has to travel?a)1 kmb)6 kmc)7 kmd)12 kmCorrect answer is option 'B'. Can you explain this answer?
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