Ram Shyam are walking on two perpendicular tracks with speed `3ms^(-1) and 4 ms^(-1)`, respectively. At a certain moment (say t = 0s), Ram and Shyam are at 20 m and 40 m away from the intersection of tracks, respectively, and moving towards the intersection of the tracks. The time t when they are at shortest distance from each other subsequently is -A. 8.8 sB. 12 sC. 15 sD. 44 s

Ram Shyam are walking on two perpendicular tracks with speed `3ms^(-1)

1.	Ram Shyam are walking on two perpendicular tracks with speed `3ms^(-1) and 4 ms^(-1)`, respectively. At a certain moment (say t = 0s), Ram and Shyam are at 20 m and 40 m away from the intersection of tracks, respectively, and moving towards the intersection of the tracks. The time t when they are at shortest distance from each other subsequently is -A. 8.8 sB. 12 sC. 15 sD. 44 s
Answer» Correct Answer - A a. `tan 37^@ = 8/(BC)` `3/4 - 8/(BC)` `BC = 32/3m` `sin 53^@ = 80/(3AB), 4/5 = 80/(3xxAB)` `AB = (100)/3m` ` t = ((32/3 + 100/3))/5 = 132/15 = 8.8s`.

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