A Train T1 starts from Ranchi to Patna at 8 am and reaches at 12 noon. A second train T2 starts at 8 am from Patna reaches Ranchi at 1 pm. When did the two train cross each other?
A Train T1 starts from Ranchi to Patna at 8 am and reaches at 12 noon. A second train T2 starts at 8 am from Patna reaches Ranchi at 1 pm. When did the two train cross each other? Correct Answer 10:13 am
Time taken by train T1 to complete its journey = 4 hours
Time taken by train T2 to complete its journey = 5 hours
Ratio of speeds of trains T1 and T2 = (Time taken by train T2)/(Time taken by train T1) = 5/4
Ratio of distances travelled by trains T1 and T2 = 5/4
Time taken by trains T1 and T2 to cross each other = (5/9) × 4 = 20/9 = 2 hours 13 minutes
Thus, both the trains T1 and T2 will cross each other at 10:13 am.
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Feb 20, 2025