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Adam, Boris and Khan start from the same place and travel in the same direction at speeds of 15, 30 and 60 km per hour respectively. Boris starts two hours after Adam. If Boris and Khan overtake Adam at the same instant, how many hours after Adam did Khan start?
- a)4 hrs
- b)2 hrs
- c)3 hrs
- d)6 hrs
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Adam, Boris and Khan start from the same place and travel in the same...
Let us assume that Adam started running at 10 AM and Boris started at 12 noon.
So, in these two hours’ distance travelled by Adam is 30 km and the relative speed of Boris with respect to Adam is 15 km/hr.
So Boris will overtake Adam after =30/15 =2 hrs
So, Boris reaches there at 2 PM.
So, Khan also overtakes Adam at 2 PM.
Let us assume Khan takes t time to overtake Adam and the relative speed of Khan with respect to Adam is 45 km/hr and Adam ran for 4 hrs.
So, distance travelled by Adam is:
= time × speed
= 4 × 45 ……. (i)
While Khan's distance travelled is:
=t × 60 -------- (ii)
Since distance travelled by them is equal,
⇒ (i) = (ii)
⇒ 4 × 45 = t × 60
T = 3 hours
So, after 3 hrs, Khan will start running.
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Community Answer
Adam, Boris and Khan start from the same place and travel in the same...
Given:
- Adam's speed = 15 km/hr
- Boris's speed = 30 km/hr
- Khan's speed = 60 km/hr
Let's assume the time taken by all three to meet is 't' hours.
Distance covered by Adam = 15t km
Distance covered by Boris = 30(t-2) km (since Boris starts 2 hours after Adam)
Distance covered by Khan = 60t km
Since Boris and Khan overtake Adam at the same instant, the distances covered by Boris and Khan should be equal to the distance covered by Adam.
So, we have the equation:
30(t-2) = 15t
30t - 60 = 15t
15t = 60
t = 4 hours
Therefore, it took 4 hours for Adam, Boris, and Khan to meet.
To find out when Khan started, we subtract the time taken by Adam from the total time taken by all three to meet.
Time taken by Khan = Total time taken - Time taken by Adam
Time taken by Khan = 4 hours - 0 hours (since Adam starts at the same time as the reference point)
Time taken by Khan = 4 hours
Therefore, Khan started 4 hours after Adam.
Hence, the correct answer is option C) 3 hours.
- Adam's speed = 15 km/hr
- Boris's speed = 30 km/hr
- Khan's speed = 60 km/hr
Let's assume the time taken by all three to meet is 't' hours.
Distance covered by Adam = 15t km
Distance covered by Boris = 30(t-2) km (since Boris starts 2 hours after Adam)
Distance covered by Khan = 60t km
Since Boris and Khan overtake Adam at the same instant, the distances covered by Boris and Khan should be equal to the distance covered by Adam.
So, we have the equation:
30(t-2) = 15t
30t - 60 = 15t
15t = 60
t = 4 hours
Therefore, it took 4 hours for Adam, Boris, and Khan to meet.
To find out when Khan started, we subtract the time taken by Adam from the total time taken by all three to meet.
Time taken by Khan = Total time taken - Time taken by Adam
Time taken by Khan = 4 hours - 0 hours (since Adam starts at the same time as the reference point)
Time taken by Khan = 4 hours
Therefore, Khan started 4 hours after Adam.
Hence, the correct answer is option C) 3 hours.
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Adam, Boris and Khan start from the same place and travel in the same direction at speeds of 15, 30 and 60 km per hour respectively. Boris starts two hours after Adam. If Boris and Khan overtake Adam at the same instant, how many hours after Adam did Khan start?a) 4 hrsb) 2 hrsc) 3 hrsd) 6 hrsCorrect answer is option 'C'. Can you explain this answer?
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Adam, Boris and Khan start from the same place and travel in the same direction at speeds of 15, 30 and 60 km per hour respectively. Boris starts two hours after Adam. If Boris and Khan overtake Adam at the same instant, how many hours after Adam did Khan start?a) 4 hrsb) 2 hrsc) 3 hrsd) 6 hrsCorrect answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Adam, Boris and Khan start from the same place and travel in the same direction at speeds of 15, 30 and 60 km per hour respectively. Boris starts two hours after Adam. If Boris and Khan overtake Adam at the same instant, how many hours after Adam did Khan start?a) 4 hrsb) 2 hrsc) 3 hrsd) 6 hrsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Adam, Boris and Khan start from the same place and travel in the same direction at speeds of 15, 30 and 60 km per hour respectively. Boris starts two hours after Adam. If Boris and Khan overtake Adam at the same instant, how many hours after Adam did Khan start?a) 4 hrsb) 2 hrsc) 3 hrsd) 6 hrsCorrect answer is option 'C'. Can you explain this answer?.
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