Two cars are moving in the same direction with a speed of 30- km h-1- They are separated from each other by 5 -km- The 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-

Let the speed of the third car be x. The relative distance between the first car and second car =5 km Relative speed of third car w.r.t. second car nbsp; =(x ...

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Byju's Answer

Standard XII

Physics

Relative Position

Two cars are ...

Question

Two cars are moving in the same direction with a speed of $30 {km h}^{- 1}$ . 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?

30 {km h}^{- 1}

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35 {km h}^{- 1}

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40 {km h}^{- 1}

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45 {km h}^{- 1}

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Solution

The correct option is D $45 {km h}^{- 1}$
Let the speed of the third car be $x$
Relative distance between first car and second car $= 5 km$
Relative speed of third car w.r.t. second car $= (x + 30) km/h$ ( $∵$ second car is moving in opposite direction to that of third car)
Relative distance = relative speed /time
$\Rightarrow 5 = (x + 30) \times (\frac{4}{60})$
$∴ x = 45 km/h$

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Two cars are moving in the same direction with a speed of 30 km 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?

Two cars are moving in the same direction with a speed of $30 {km h}^{- 1}$ . 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?