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A car of length 1 m is moving on a straight road with a uniform velocity of 20 m/s. Initially the front of the car is 100 m behind the rear end of a truck of length 15 m. The truck and the car are moving in the same direction. Truck has a uniform speed of 10 m/s. Find the time taken for the car in seconds to travel from the initial point to completely pass the truck.6 s8.8 s11.6 s5.9 s

Question

A car of length 1 m is moving on a straight road with a uniform velocity of 20 m/s. Initially the front of the car is 100 m behind the rear end of a truck of length 15 m. The truck and the car are moving in the same direction. Truck has a uniform speed of 10 m/s. Find the time taken for the car in seconds to travel from the initial point to completely pass the truck.6 s8.8 s11.6 s5.9 s

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Solution

To find the time taken for the car to completely pass the truck, we need to determine the distance the car needs to travel.

The initial distance between the front of the car and the rear end of the truck is 100 m. However, since the car needs to completely pass the truck, it needs to cover the length of the truck as well, which is 15 m.

Therefore, the total distance the car needs to travel is 100 m + 15 m = 115 m.

The car is moving with a uniform velocity of 20 m/s, so we can use the formula:

time = distance / velocity

Plugging in the values, we get:

time = 115 m / 20 m/s = 5.75 s

Therefore, the time taken for the car to completely pass the truck is approximately 5.75 seconds.

This problem has been solved

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