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The distance between two stations A and B is 220 km. A train leaves A toward B at an average speed of 80 km/hr. after half an hour another train leaves B toward A at an average speed at 100 km/hr. The distance of the point of two train meet, from A is
- a)120 km.
- b)130 km.
- c)140 km.
- d)150 km.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The distance between two stations A and B is 220 km. A train leaves A ...
Let the required distance be x km.
⇒ 5x − 4(220 − x) = 200
⇒ 9x = 1080
⇒ x = 120 km
∴ Required distance = 120 km
⇒ 5x − 4(220 − x) = 200
⇒ 9x = 1080
⇒ x = 120 km
∴ Required distance = 120 km
Most Upvoted Answer
The distance between two stations A and B is 220 km. A train leaves A ...
Given information:
Distance between two stations A and B = 220 km
Speed of train leaving from A towards B = 80 km/hr
Speed of train leaving from B towards A = 100 km/hr
Time after which the second train leaves from B towards A = 0.5 hours
To find:
Distance of the point where two trains meet from A
Explanation:
Let's assume that the two trains meet at a distance of x km from station A.
Distance covered by the first train in x km = x
Distance covered by the second train in (220 – x) km = (220 – x)
Time taken by the first train to cover x km = x/80
Time taken by the second train to cover (220 – x) km = (220 – x)/100
As per the given information, the second train leaves B towards A after 0.5 hours of the first train's departure from A. Hence, the time taken by the second train to meet the first train is 0.5 hours less than the time taken by the first train. So, we can equate the time taken by both the trains as follows:
x/80 = (220 – x)/100 – 0.5
Solving the above equation, we get:
x = 120 km
Hence, the distance of the point where two trains meet from A is 120 km.
Therefore, the correct option is (a) 120 km.
Distance between two stations A and B = 220 km
Speed of train leaving from A towards B = 80 km/hr
Speed of train leaving from B towards A = 100 km/hr
Time after which the second train leaves from B towards A = 0.5 hours
To find:
Distance of the point where two trains meet from A
Explanation:
Let's assume that the two trains meet at a distance of x km from station A.
Distance covered by the first train in x km = x
Distance covered by the second train in (220 – x) km = (220 – x)
Time taken by the first train to cover x km = x/80
Time taken by the second train to cover (220 – x) km = (220 – x)/100
As per the given information, the second train leaves B towards A after 0.5 hours of the first train's departure from A. Hence, the time taken by the second train to meet the first train is 0.5 hours less than the time taken by the first train. So, we can equate the time taken by both the trains as follows:
x/80 = (220 – x)/100 – 0.5
Solving the above equation, we get:
x = 120 km
Hence, the distance of the point where two trains meet from A is 120 km.
Therefore, the correct option is (a) 120 km.
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The distance between two stations A and B is 220 km. A train leaves A toward B at an average speed of 80 km/hr. after half an hour another train leaves B toward A at an average speed at 100 km/hr. The distance of the point of two train meet, from A isa)120 km.b)130 km.c)140 km.d)150 km.Correct answer is option 'A'. Can you explain this answer?
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Solutions for The distance between two stations A and B is 220 km. A train leaves A toward B at an average speed of 80 km/hr. after half an hour another train leaves B toward A at an average speed at 100 km/hr. The distance of the point of two train meet, from A isa)120 km.b)130 km.c)140 km.d)150 km.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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