Two cars are moving in the same direction with a speed of 30 $k m h^{- 1}$ . They are separated from each other by 5 km. Third car moving in the opposite direction meets the two cars after an interval of 4 minutes. What is the speed of the third car?

35 k m h^{- 1}

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40 k m h^{- 1}

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45 k m h^{- 1}

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75 k m h^{- 1}

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Solution

The correct option is C $45 k m h^{- 1}$
Let the speed of third car be x km/hr
$t = 4 m i n = 1 / 15 h r$
$D = 5 k m$
Relative speed $= 30 + x = D / t = 75$
Thus $x = 75 - 30 = 45$ km/hr

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Two cars are moving in the same direction with a speed of 30 kmh−1. They are separated from each other by 5 km. Third car moving in the opposite direction meets the two cars after an interval of 4 minutes. What is the speed of the third car?

The correct option is C 45kmh−1Let the speed of third car be x km/hrt=4min=1/15hrD=5kmRelative speed =30+x=D/t=75 Thus x=75−30=45 km/hr

Two cars are moving in the same direction with a speed of 30 $k m h^{- 1}$ . They are separated from each other by 5 km. Third car moving in the opposite direction meets the two cars after an interval of 4 minutes. What is the speed of the third car?

The correct option is C $45 k m h^{- 1}$
Let the speed of third car be x km/hr
$t = 4 m i n = 1 / 15 h r$
$D = 5 k m$
Relative speed $= 30 + x = D / t = 75$
Thus $x = 75 - 30 = 45$ km/hr