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Ram Shyam are walking on two perpendicul...

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.
Shortest distance between them subsequently is

A

18 m

B

15 m

C

25 m

D

8 m

Text Solution

Verified by Experts

The correct Answer is:
D
d.
`tan 53^@ = y/20`
`y = 20 xx 4/3 = 80/3m `
`sin 37^@ = (d/(40 - (80)/(3))), rArr d = 3/5 [40/3] = 8m`.
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