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Rishu travels at 40 km/hr, he reaches his destination late by 10 minutes but if he travels at 60 km/h then he reaches 10 minutes earlier. The distance travelled by him is:
- a)32 km
- b)36 km
- c)42 km
- d)40 km
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Rishu travels at 40 km/hr, he reaches his destination late by 10 minut...
⇒ Let the distance to office be x km
⇒ Time taken if he rides at 40 km/hr = (x/40) hr
⇒ Time taken if he rides at 60 km/hr = (x/60) hr
⇒ difference of time = 10 min + 10 min = 20 min = 1/3 hr
⇒ (x/40) − (x/60) = 1/3
⇒ (3x - 2x)/120 = 1/3
⇒ 3x = 120
∴ x = 40 km
Most Upvoted Answer
Rishu travels at 40 km/hr, he reaches his destination late by 10 minut...
To solve this problem, let's assume the distance travelled by Rishu is 'd' km.
1. Travelling at 40 km/hr
When Rishu travels at 40 km/hr, he reaches his destination late by 10 minutes. Let's calculate the time taken to travel 'd' km at this speed.
Time = Distance / Speed
Time = d / 40
But he reaches 10 minutes late, so the actual time taken would be:
Time + 10 minutes
Converting 10 minutes to hours, we get:
10 minutes = 10/60 = 1/6 hour
So the total time taken at 40 km/hr is:
(d / 40) + (1/6) = (6d + 40) / 240
2. Travelling at 60 km/hr
When Rishu travels at 60 km/hr, he reaches his destination 10 minutes earlier. Let's calculate the time taken to travel 'd' km at this speed.
Time = Distance / Speed
Time = d / 60
But he reaches 10 minutes earlier, so the actual time taken would be:
Time - 10 minutes
Converting 10 minutes to hours, we get:
10 minutes = 10/60 = 1/6 hour
So the total time taken at 60 km/hr is:
(d / 60) - (1/6) = (6d - 60) / 360
3. Equating the times
Since the distance travelled is the same, we can equate the times taken at both speeds.
(6d + 40) / 240 = (6d - 60) / 360
Cross-multiplying and simplifying the equation, we get:
6d + 40 = 4d - 40
2d = 80
d = 40 km
Therefore, Rishu travels a distance of 40 km. The correct answer is option 'D'.
1. Travelling at 40 km/hr
When Rishu travels at 40 km/hr, he reaches his destination late by 10 minutes. Let's calculate the time taken to travel 'd' km at this speed.
Time = Distance / Speed
Time = d / 40
But he reaches 10 minutes late, so the actual time taken would be:
Time + 10 minutes
Converting 10 minutes to hours, we get:
10 minutes = 10/60 = 1/6 hour
So the total time taken at 40 km/hr is:
(d / 40) + (1/6) = (6d + 40) / 240
2. Travelling at 60 km/hr
When Rishu travels at 60 km/hr, he reaches his destination 10 minutes earlier. Let's calculate the time taken to travel 'd' km at this speed.
Time = Distance / Speed
Time = d / 60
But he reaches 10 minutes earlier, so the actual time taken would be:
Time - 10 minutes
Converting 10 minutes to hours, we get:
10 minutes = 10/60 = 1/6 hour
So the total time taken at 60 km/hr is:
(d / 60) - (1/6) = (6d - 60) / 360
3. Equating the times
Since the distance travelled is the same, we can equate the times taken at both speeds.
(6d + 40) / 240 = (6d - 60) / 360
Cross-multiplying and simplifying the equation, we get:
6d + 40 = 4d - 40
2d = 80
d = 40 km
Therefore, Rishu travels a distance of 40 km. The correct answer is option 'D'.
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Rishu travels at 40 km/hr, he reaches his destination late by 10 minutes but if he travels at 60 km/h then he reaches 10 minutes earlier. The distance travelled by him is:a)32 kmb)36 kmc)42 kmd)40 kmCorrect answer is option 'D'. Can you explain this answer?
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Rishu travels at 40 km/hr, he reaches his destination late by 10 minutes but if he travels at 60 km/h then he reaches 10 minutes earlier. The distance travelled by him is:a)32 kmb)36 kmc)42 kmd)40 kmCorrect answer is option 'D'. 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 Rishu travels at 40 km/hr, he reaches his destination late by 10 minutes but if he travels at 60 km/h then he reaches 10 minutes earlier. The distance travelled by him is:a)32 kmb)36 kmc)42 kmd)40 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rishu travels at 40 km/hr, he reaches his destination late by 10 minutes but if he travels at 60 km/h then he reaches 10 minutes earlier. The distance travelled by him is:a)32 kmb)36 kmc)42 kmd)40 kmCorrect answer is option 'D'. Can you explain this answer?.
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