1.

Two trains, each of length ` 100 m`, are running on parallel tracks. One overtakes the other in `20 second ` and one crosses the other in `10 second`. Calculate the velocities of two trains.

Answer» Let (u) and (v) be the velocity of two trains (A) and (B). While overtaking, the relatve velcity of train ` A w.r.t. B = -u- v.` Whil crossing, the relative velocity of train ` A w.r.t. B=- + v` . Tpta, dostance tp ne travelled by train ()A while crossing
` = 100 + 100 = 200 m`
:. ` 20 = (200)/ ( u-v) ` or ` u- v = 10`
and ` 10 = ( 200) /( u+ v) ` or ` u + v= 20` ltbRgt On solving we ger, ltbRgt ` u = 15 ms^(-1)` and ` v= 5 ms^(-1)` .


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