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Train P of length 300m and Train Q of length 600m are travelling with 48kmph and 66kmph respectively. Find the time taken by them to cross each other if they are moving in same direction ?
  • a)
    3 mins
  • b)
    2 mins
  • c)
    4 mins
  • d)
    5 mins
Correct answer is option 'A'. Can you explain this answer?
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To find the time taken by two trains to cross each other when they are moving in the same direction, we need to calculate the relative speed between the two trains and divide the distance between them by this relative speed.

Given:
Length of Train P (Lp) = 300m
Length of Train Q (Lq) = 600m
Speed of Train P (Sp) = 48 kmph
Speed of Train Q (Sq) = 66 kmph

Step 1: Convert the speeds from kmph to m/s.
Speed of Train P (Sp) = 48 kmph = (48 * 1000) / (60 * 60) = 13.33 m/s
Speed of Train Q (Sq) = 66 kmph = (66 * 1000) / (60 * 60) = 18.33 m/s

Step 2: Calculate the relative speed between the two trains.
Relative Speed = Speed of Train Q - Speed of Train P
Relative Speed = 18.33 m/s - 13.33 m/s = 5 m/s

Step 3: Calculate the total distance to be covered.
Total Distance = Length of Train P + Length of Train Q
Total Distance = 300m + 600m = 900m

Step 4: Calculate the time taken to cross each other.
Time = Total Distance / Relative Speed
Time = 900m / 5 m/s = 180 seconds

Step 5: Convert the time to minutes.
Time in Minutes = 180 seconds / 60 = 3 minutes

Therefore, the time taken by the two trains to cross each other when moving in the same direction is 3 minutes. Hence, option A is the correct answer.
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Train P of length 300m and Train Q of length 600m are travelling with 48kmph and 66kmph respectively. Find the time taken by them to cross each other if they are moving in same direction ?a)3 minsb)2 minsc)4 minsd)5 minsCorrect answer is option 'A'. Can you explain this answer?
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