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Two trains 500m and 700m long are going with speeds 70km/hr. and 50km/hr. respectively in opposite direction. How long will it take to pass each other?
  • a)
    33 sec
  • b)
    34 sec
  • c)
    35 sec
  • d)
    36 sec
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Two trains 500m and 700m long are going with speeds 70km/hr. and 50km/...
Solution:
Given, speeds of two trains are 70 km/hr and 50 km/hr respectively.
Let's convert these speeds into m/sec.
Speed of train 1 = 70 km/hr
= (70 x 5) / 18 m/sec [ 1 km/hr = (5/18) m/sec]
= 175/9 m/sec
Speed of train 2 = 50 km/hr
= (50 x 5) / 18 m/sec
= 125/9 m/sec
Relative speed = (175/9 + 125/9) m/sec
= 300/9 m/sec
= 100/3 m/sec
Distance to be covered = length of train 1 + length of train 2
= 500m + 700m
= 1200m
Time taken to pass each other = distance / relative speed
= 1200 / (100/3)
= 1200 x 3 / 100
= 36 sec
Hence, the correct answer is option (D) 36 sec.
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Two trains 500m and 700m long are going with speeds 70km/hr. and 50km/hr. respectively in opposite direction. How long will it take to pass each other?a)33secb)34 secc)35 secd)36 secCorrect answer is option 'D'. Can you explain this answer?
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