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Question: Two cars are moving with same velocity of 30 kmh<sup>-1</sup> maintaining a distance of 5 km between...

Two cars are moving with same velocity of 30 kmh-1 maintaining a distance of 5 km between them. Speed of third car moving in the opposite direction and meeting the two cars at an interval of 240s is

A

45 kmh-1

B

30 kmh-1

C

55 kmh-1

D

35 kmh-1

Answer

45 kmh-1

Explanation

Solution

Time interval,

t = distance between car/relative velocity

= d/vIII + 30

where vIII is velocity of 3rd car and velocity of I or II is 30 kmh-1 or

240/3600 = 5/vIII + 30 or

vIII = ( 15 × 5 - 30)

= 45 kmh-1