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Two trains, whose respective lengths are 120 metres and 180 metres, cross each other in 15 seconds when they are moving in opposite directions and in 50 seconds when they are moving in the same direction. What is the speed of the faster train (in km/hr)?
  • a)
    46.8 kmph
  • b)
    40.2 kmph
  • c)
    54 kmph
  • d)
    56.5 kmph
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two trains, whose respective lengths are 120 metres and 180 metres, cr...
Let the speed of faster train be x and speed of slower train be y
According to question, when they are moving in opposite direction
(x + y) = (180 + 120)/15
(x + y) = 300/15
(x + y) = 20 .................(i)
now, when they are moving same direction
(x - y) = (180 + 120)/50
(x - y) = 300/50
(x - y) = 6....................(ii)
from (i) and (ii), we get
x = 13 m/sec and y = 7 m/sec therefore, Speed of faster train (in km/hr) = 13 × (18/5)
= 46.8 km/hr
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Most Upvoted Answer
Two trains, whose respective lengths are 120 metres and 180 metres, cr...
Given:
Length of first train = 120 meters
Length of second train = 180 meters
Time taken to cross each other in opposite direction = 15 seconds
Time taken to cross each other in same direction = 50 seconds

To find:
Speed of the faster train in km/hr

Solution:
Let the speed of the first train be x m/s and the speed of the second train be y m/s.

When the trains move towards each other, their relative speed = (x + y) m/s
Total distance covered = length of first train + length of second train = 120 + 180 = 300 meters

Using the formula, distance = speed * time, we get:
300 = (x + y) * 15
=> x + y = 20

When the trains move in the same direction, their relative speed = (x - y) m/s
Total distance covered = length of first train + length of second train = 120 + 180 = 300 meters

Using the formula, distance = speed * time, we get:
300 = (x - y) * 50
=> x - y = 6

Solving the above two equations, we get:
x = 13 m/s and y = 7 m/s

Converting the speeds into km/hr, we get:
Speed of first train = 13 * 18/5 = 46.8 km/hr
Speed of second train = 7 * 18/5 = 25.2 km/hr

Therefore, the speed of the faster train is 46.8 km/hr (option A).
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Two trains, whose respective lengths are 120 metres and 180 metres, cross each other in 15 seconds when they are moving in opposite directions and in 50 seconds when they are moving in the same direction. What is the speed of the faster train (in km/hr)?a)46.8 kmphb)40.2 kmphc)54 kmphd)56.5 kmphe)None of theseCorrect answer is option 'A'. Can you explain this answer?
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