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Two cars move in the same direction alon...

Two cars move in the same direction along parallel roads. One of them is a `200m`, long travelling with a velocity of `20m//s`. The second one is `800m` long travelling with a velocity of `7.5m//s`. How long will it take for the first car to overtake the second car?

A

`20s`

B

`40s`

C

`60s`

D

`80s`

Text Solution

Verified by Experts

(d) From the figure the relative disdplacement is

`s_("rel")=(800+200)m=1000m`
`v_("rel")=v_(1)-v_(2)=(20-7.5)m//s=12.5m//s`
`=(s_("rel"))/(v_("rel"))=1000/12.5=80s`
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