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Rahul has to travel from one point to another point in a certain time. Travelling at a speed of 6kmph he reaches 40m late and travelling at a speed of 8kmph he reaches 12 m earlier.What is the distance between this two points ?
- a)27km
- b)18km
- c)15km
- d)21km
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Rahul has to travel from one point to another point in a certain time....
Explanation :
t + 40/60 = d/6
t – 12/60 = d/8
By the solving these two equations we get.
d = 20.8 km ~ 21 km
Another method :
6………………..4. (40m late)
………24…………
8…………………..3. (12 m ear)
60 = 52
1 = 52/60 = 13/15
So distance = 24 *13/15
= 8*13/5 = 104/5 = 20.8km
t + 40/60 = d/6
t – 12/60 = d/8
By the solving these two equations we get.
d = 20.8 km ~ 21 km
Another method :
6………………..4. (40m late)
………24…………
8…………………..3. (12 m ear)
60 = 52
1 = 52/60 = 13/15
So distance = 24 *13/15
= 8*13/5 = 104/5 = 20.8km
Most Upvoted Answer
Rahul has to travel from one point to another point in a certain time....
Given Information:
Rahul travels from one point to another point in a certain time. He reaches 40m late when traveling at a speed of 6 km/h and he reaches 12m earlier when traveling at a speed of 8 km/h.
To Find:
The distance between the two points.
Approach:
Let's assume the distance between the two points as 'd' km.
Case 1: Traveling at 6 km/h
- Time taken to travel the distance = d/6 hours
- Rahul reaches 40m late, which means he takes extra time of 40m/6 km/h = 40/6 hours
- Total time taken = d/6 + 40/6 hours
Case 2: Traveling at 8 km/h
- Time taken to travel the distance = d/8 hours
- Rahul reaches 12m earlier, which means he saves time of 12m/8 km/h = 12/8 hours
- Total time taken = d/8 - 12/8 hours
Since the total time taken in both cases is the same, we can equate the two expressions:
d/6 + 40/6 = d/8 - 12/8
Simplifying the equation:
8d + 40 = 6d - 12
2d = -52
d = -26
Since distance cannot be negative, this is not a valid solution.
Conclusion:
The distance between the two points cannot be determined with the given information. Hence, the correct answer is option E, None of these.
Rahul travels from one point to another point in a certain time. He reaches 40m late when traveling at a speed of 6 km/h and he reaches 12m earlier when traveling at a speed of 8 km/h.
To Find:
The distance between the two points.
Approach:
Let's assume the distance between the two points as 'd' km.
Case 1: Traveling at 6 km/h
- Time taken to travel the distance = d/6 hours
- Rahul reaches 40m late, which means he takes extra time of 40m/6 km/h = 40/6 hours
- Total time taken = d/6 + 40/6 hours
Case 2: Traveling at 8 km/h
- Time taken to travel the distance = d/8 hours
- Rahul reaches 12m earlier, which means he saves time of 12m/8 km/h = 12/8 hours
- Total time taken = d/8 - 12/8 hours
Since the total time taken in both cases is the same, we can equate the two expressions:
d/6 + 40/6 = d/8 - 12/8
Simplifying the equation:
8d + 40 = 6d - 12
2d = -52
d = -26
Since distance cannot be negative, this is not a valid solution.
Conclusion:
The distance between the two points cannot be determined with the given information. Hence, the correct answer is option E, None of these.
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Rahul has to travel from one point to another point in a certain time. Travelling at a speed of 6kmph he reaches 40m late and travelling at a speed of 8kmph he reaches 12 m earlier.What is the distance between this two points ?a)27kmb)18kmc)15kmd)21kme)None of theseCorrect answer is option 'D'. Can you explain this answer?
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