A train leaves Manipur at 6am and reaches Dispur at 10 am. another train leaves Dispur at 8am and reaches Manipur at 11:30 am. at what time do the two trains cross each other?
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Given:
A train leaves Manipur at 6am and reaches Dispur at 10 am. another train leaves Dispur at 8am and reaches Manipur at 11:30 am.
To find:
At what time do the two trains cross each other?
Solution:
From given, we have,
Let the distance between Manipur Dispur = x km
The average speed of the train from Manipur =x/4km/h
The average speed of the train from Dispur =2x/7km/h
Let they meet y h after 6 : 00 am.
Then, according to the question,
(x/4 × y) + 2x/7 × (y − 2) = x
y/4 + 2(y − 2)/7 = 1
7y + 8(y - 2) = 28
15y = 44
y = 15y = 44 = 2 h 56 min
Clearly, trains meet 2 h 56 min after 6 : 00 am.
It means the trains meet at 8 : 56 am
Therefore, at 8 : 56 am two trains cross each other
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