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If a person walks at 15 km/hr instead of 9 km/hr, he would have walked 3 km more in the same time. What is the actual distance (in kms) travelled by him?
- a)5.5
- b)6.5
- c)4.5
- d)7.5
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If a person walks at 15 km/hr instead of 9 km/hr, he would have walked...
Let time = x
15x - 9x = 3
x = 0.5hr
distance = 9x = 9(0.5) = 4.5km
So the answer is option C.
Most Upvoted Answer
If a person walks at 15 km/hr instead of 9 km/hr, he would have walked...
**Given:**
- The person walks at a speed of 15 km/hr instead of 9 km/hr.
- The person walks 3 km more in the same time.
**To find:**
- The actual distance traveled by the person.
**Assumption:**
- Let's assume that the person takes 't' hours to cover a certain distance.
**Explanation:**
Let's consider the distance covered by the person at the speed of 9 km/hr as 'd' km.
According to the given condition, the person walks 3 km more at a speed of 15 km/hr in the same time. Therefore, the distance covered at a speed of 15 km/hr is 'd + 3' km.
We can calculate the time taken to cover the distance at each speed using the formula:
Time = Distance / Speed
- The time taken to cover the distance at a speed of 9 km/hr = d / 9 (hours)
- The time taken to cover the distance at a speed of 15 km/hr = (d + 3) / 15 (hours)
According to the given condition, both these times are equal:
d / 9 = (d + 3) / 15
To solve this equation, we can cross-multiply and simplify:
15d = 9(d + 3)
15d = 9d + 27
6d = 27
d = 27 / 6
d = 4.5 km
Therefore, the actual distance traveled by the person is 4.5 km.
Hence, the correct answer is option C (4.5 km).
- The person walks at a speed of 15 km/hr instead of 9 km/hr.
- The person walks 3 km more in the same time.
**To find:**
- The actual distance traveled by the person.
**Assumption:**
- Let's assume that the person takes 't' hours to cover a certain distance.
**Explanation:**
Let's consider the distance covered by the person at the speed of 9 km/hr as 'd' km.
According to the given condition, the person walks 3 km more at a speed of 15 km/hr in the same time. Therefore, the distance covered at a speed of 15 km/hr is 'd + 3' km.
We can calculate the time taken to cover the distance at each speed using the formula:
Time = Distance / Speed
- The time taken to cover the distance at a speed of 9 km/hr = d / 9 (hours)
- The time taken to cover the distance at a speed of 15 km/hr = (d + 3) / 15 (hours)
According to the given condition, both these times are equal:
d / 9 = (d + 3) / 15
To solve this equation, we can cross-multiply and simplify:
15d = 9(d + 3)
15d = 9d + 27
6d = 27
d = 27 / 6
d = 4.5 km
Therefore, the actual distance traveled by the person is 4.5 km.
Hence, the correct answer is option C (4.5 km).
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If a person walks at 15 km/hr instead of 9 km/hr, he would have walked 3 km more in the same time. What is the actual distance (in kms) travelled by him?a)5.5b)6.5c)4.5d)7.5Correct answer is option 'C'. Can you explain this answer?
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