Question

Two cars are moving in the same direction at the same speed,”u”. The cars
maintain a linear distance "x" between them. An another car (third car) coming
from opposite direction meets the two cars at an interval of “t”, then find the
speed of the third car.

Answer 1

Answer:

Two cars are moving in the same direction with the same speed of 30 km/hr. They are separated by a distance of 5 km. What is the speed of a car moving in an opposite direction if it meets the two cars in an interval of 4 minutes?

Master's certification in passenger car design & development.

The relative speed between the two cars is zero as both are moving with same speed i.e. 30 km/h.

The third car meets the two cars in the time gap of 4 minutes.

This problem can be solved using relative motion concept.

Considering the two cars at rest.

Let the relative speed of the third car be x with respect to the two cars.

The relative displacement by the third car during the time interval of 4 minutes = 5 km.

Therefore x =5/4/60

Hence velocity of third car with respect to two cars is 75 km/h

but the two cars are travelling in opposite direction to that of the third car at a speed of 30 km/h

Therefore actual speed of the third car = 75 - 30 = 45 km/h