A train 'X ' leaves station 'A' at 3:00p.m. and reaches station 'B' at 4:30p.m. . Another train 'Y' leaves station 'B' at 3pm. and reaches station 'A' at 4 p.m. when will the two trains cross each other
Answers
Difference in time of train X going from station A to B = 90 minutes
Difference in time of train Y going from station B to A = 60 minutes
90 = 3² × 2 × 5
60 = 2² × 3 × 5
HCF = 3 × 2 × 5
HCF = 30
So , They will meet after 30 minutes
Hey !!
Find the time taken by both the trains to reach other point:
Time taken by train X to reach B from A
= 4:30 PM - 3:00 PM = 1:30 Hrs = 1.5 Hrs
Time taken by train Y to reach A from B
= 4:00 PM - 3 PM = 1:00 Hr = 1 Hr.
Assume distance between A and B as 5 km
(You can take any non zero value)
Find the speed of both the trains :
Speed of train X = 5/1.5= 50/15 = 10/3 kmph
Speed of train Y = 5/1 = 5 kmph
Time taken by trains to meet each other =
5/((10/3)+5) = 5/(25/3) = 3/5 = 0.6 Hrs = 36 Minutes
The two trains cross each other after 36 minutes of 3 PM
i.e. , at 3:36 PM
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