Two cars are moving in the same direction with a speed of $30 kmph$ . They are seperated 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 kmph

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35 kmph

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40 kmph

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45 kmph

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Solution

The correct option is D $45 kmph$
Using relative speed of third car, we have

$v + 30 = \frac{5 km}{(\frac{4}{60}) hour}$
$\Rightarrow v + 30 = \frac{5 \times 60}{4} = 75$
$\Rightarrow v = 75 - 30 = 45 km/h$

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Two cars A and B are moving in same direction with a speed of 30km per hr. 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 mins. The speed of third car is ? ( use relative velocity to solve the problem)

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Two cars are moving in the same direction with a speed of 30 kmph. They are seperated 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 D 45 kmphUsing relative speed of third car, we have v+30=5 km(460) hour ⇒v+30=5×604=75 ⇒v=75−30=45 km/h

Two cars are moving in the same direction with a speed of $30 kmph$ . They are seperated 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 D $45 kmph$
Using relative speed of third car, we have

$v + 30 = \frac{5 km}{(\frac{4}{60}) hour}$
$\Rightarrow v + 30 = \frac{5 \times 60}{4} = 75$
$\Rightarrow v = 75 - 30 = 45 km/h$