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Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out ontheir meeting that he had travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrivedat A 9 hours later. Find the speed of the faster tourist.
- a)4 km/h
- b)6 km/h
- c)9 km/h
- d)2 km/h
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two Indian tourists in the US cycled towards each other, one from poin...
This is a complex trial and error based question and the way you would have to think in this is:
From the figure above, it is clear that A is faster as he takes only t + 2 hours while B has taken t +
9 hours to complete the journey.
Then, we get: (t – 6)/9 = 8/t
Solving for t, we get t = –6 (not possible)
Or t = 12. Putting this value of t in the figure it changes to:
9 hours to complete the journey.
Then, we get: (t – 6)/9 = 8/t
Solving for t, we get t = –6 (not possible)
Or t = 12. Putting this value of t in the figure it changes to:
We also get ratio of speeds = 3 : 2 (inverse of ratio of times)
The next part of the puzzle is to think of the 12 km less traveled by the first person till the meeting
point.
If the speed of the faster person is 3s, that of the slower person = 2s.
Further
12 × 2s – 6 × 3s = 12 km
s = 2 kmph.
The speed of the faster tourist is 3 × 2 = 6 kmph
The next part of the puzzle is to think of the 12 km less traveled by the first person till the meeting
point.
If the speed of the faster person is 3s, that of the slower person = 2s.
Further
12 × 2s – 6 × 3s = 12 km
s = 2 kmph.
The speed of the faster tourist is 3 × 2 = 6 kmph
Most Upvoted Answer
Two Indian tourists in the US cycled towards each other, one from poin...
Given:
- Two Indian tourists cycled towards each other in the US.
- One tourist started from point A, and the other tourist started from point B.
- The first tourist left point A 6 hours later than the second tourist left point B.
- When they met, it was found that the first tourist had travelled 12 km less than the second tourist.
- After their meeting, they kept cycling with the same speed.
- The first tourist arrived at point B 8 hours later, and the second tourist arrived at point A 9 hours later.
To Find: The speed of the faster tourist.
Solution:
Let's assume that the first tourist's speed is x km/h, and the second tourist's speed is y km/h.
Distance covered by the first tourist from point A to the point they met:
= (x * 6) + (y * t) ........ (1)
where t is the time taken by the second tourist to reach the point of meeting.
Distance covered by the second tourist from point B to the point they met:
= (y * 6) + (x * (t-6)) - 12 ........ (2)
where (t-6) is the time taken by the first tourist to reach the point of meeting.
Now, we know that after their meeting, they kept cycling with the same speed. Hence, the distance between point A and point B is covered by them in the same amount of time.
Distance covered by the first tourist from point B to point A:
= (x * 8) ........ (3)
Distance covered by the second tourist from point A to point B:
= (y * 9) ........ (4)
We can equate equations (3) and (4) to get:
(x * 8) = (y * 9)
x/y = 9/8 ........ (5)
Substituting equation (5) in equation (1), we get:
(x * 6) + (y * t) = (x * 6) + (x * t * 9/8)
y = (48/8)t/(9/8 - 1) = 6t
Substituting the value of y in equation (2), we get:
(y * 6) + (x * (t-6)) - 12 = (6 * 6t) + (x * (t-6)) - 12
48t - 12 = x(t-6)
Substituting the above value of x in equation (3), we get:
8(48/9) = 32 km/h
Therefore, the speed of the faster tourist is 6 km/h (Option B).
Hence, the solution.
- Two Indian tourists cycled towards each other in the US.
- One tourist started from point A, and the other tourist started from point B.
- The first tourist left point A 6 hours later than the second tourist left point B.
- When they met, it was found that the first tourist had travelled 12 km less than the second tourist.
- After their meeting, they kept cycling with the same speed.
- The first tourist arrived at point B 8 hours later, and the second tourist arrived at point A 9 hours later.
To Find: The speed of the faster tourist.
Solution:
Let's assume that the first tourist's speed is x km/h, and the second tourist's speed is y km/h.
Distance covered by the first tourist from point A to the point they met:
= (x * 6) + (y * t) ........ (1)
where t is the time taken by the second tourist to reach the point of meeting.
Distance covered by the second tourist from point B to the point they met:
= (y * 6) + (x * (t-6)) - 12 ........ (2)
where (t-6) is the time taken by the first tourist to reach the point of meeting.
Now, we know that after their meeting, they kept cycling with the same speed. Hence, the distance between point A and point B is covered by them in the same amount of time.
Distance covered by the first tourist from point B to point A:
= (x * 8) ........ (3)
Distance covered by the second tourist from point A to point B:
= (y * 9) ........ (4)
We can equate equations (3) and (4) to get:
(x * 8) = (y * 9)
x/y = 9/8 ........ (5)
Substituting equation (5) in equation (1), we get:
(x * 6) + (y * t) = (x * 6) + (x * t * 9/8)
y = (48/8)t/(9/8 - 1) = 6t
Substituting the value of y in equation (2), we get:
(y * 6) + (x * (t-6)) - 12 = (6 * 6t) + (x * (t-6)) - 12
48t - 12 = x(t-6)
Substituting the above value of x in equation (3), we get:
8(48/9) = 32 km/h
Therefore, the speed of the faster tourist is 6 km/h (Option B).
Hence, the solution.
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Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out ontheir meeting that he had travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrivedat A 9 hours later. Find the speed of the faster tourist.a)4 km/hb)6 km/hc)9 km/hd)2 km/hCorrect answer is option 'B'. Can you explain this answer?
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Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out ontheir meeting that he had travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrivedat A 9 hours later. Find the speed of the faster tourist.a)4 km/hb)6 km/hc)9 km/hd)2 km/hCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out ontheir meeting that he had travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrivedat A 9 hours later. Find the speed of the faster tourist.a)4 km/hb)6 km/hc)9 km/hd)2 km/hCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out ontheir meeting that he had travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrivedat A 9 hours later. Find the speed of the faster tourist.a)4 km/hb)6 km/hc)9 km/hd)2 km/hCorrect answer is option 'B'. Can you explain this answer?.
Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out ontheir meeting that he had travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrivedat A 9 hours later. Find the speed of the faster tourist.a)4 km/hb)6 km/hc)9 km/hd)2 km/hCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out ontheir meeting that he had travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrivedat A 9 hours later. Find the speed of the faster tourist.a)4 km/hb)6 km/hc)9 km/hd)2 km/hCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out ontheir meeting that he had travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrivedat A 9 hours later. Find the speed of the faster tourist.a)4 km/hb)6 km/hc)9 km/hd)2 km/hCorrect answer is option 'B'. Can you explain this answer?.
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