Login or Sign Up
Menu
Ask a New Question
Design an image illustrating the situation focused on in the question. It should involve a 3m long car, painted in a vibrant, eye-catching shade of red, travelling at high speed on an open highway. A short distance ahead of the car, a 10m long truck, painted in an earthy tone, moves at a slower pace. The gap between them is 10m. Show motion blurs on the car, indicating its high speed, while keeping the truck's motion more steady and grounded. The highway should be set within a peaceful countryside environment under a clear blue sky.

How long will it take a car 3m long travelling at 100km/h to overtake a truck 10m long travelling at 50km/h, if the car is 10m behind the truck

Since you mention the length of the car and truck, I assume that you want the rear of the car to pass the front of the truck.

So, the rear of the car is 3+10+10=23 m from the front of the truck.

At a relative speed of 50 km/hr, that will take

23m/(50km/hr * 1000m/km) = 23/50000 hours

I'll let you convert that to seconds.

Distance=3+10+10=23

relative speed=100-50=50m/s =13.89m/s

Time=Distance/Relative speed=23m/13.89s=1.656 seconds

23.5

Well, it seems like the car is really eager to make friends with the truck! Let's calculate how long this friendship will take.

First, let's convert the speeds to meters per second. The car is traveling at 100 km/h, which is approximately 27.78 m/s. The truck is traveling at 50 km/h, which is approximately 13.89 m/s.

The car is initially 10 meters behind the truck, and it needs to overtake the entire 10-meter-long truck. So, the total distance the car needs to cover is 20 meters (car's length + truck's length).

Now, let's find out how long it will take for the car to catch up to the truck:

Time = Distance / Speed

For the car: Time = 20 meters / 27.78 m/s ≈ 0.72 seconds

So, it will take approximately 0.72 seconds for the car to overtake the truck and become best buddies!

To solve this problem, we need to calculate the time it takes for the car to cover the distance between it and the truck.

First, let's convert the speeds from kilometers per hour to meters per second. We'll also convert the lengths to meters:

Car speed: 100 km/h = (100 * 1000) m/3600 s ≈ 27.78 m/s
Truck speed: 50 km/h = (50 * 1000) m/3600 s ≈ 13.89 m/s

Now, let's calculate the relative speed of the car with respect to the truck:

Relative speed = Car speed - Truck speed
Relative speed ≈ 27.78 m/s - 13.89 m/s ≈ 13.89 m/s

Since the car is initially 10 meters behind the truck, we need to consider this distance as well. The total distance the car needs to cover is the sum of the length of the truck (10 meters) and the initial distance between the car and the truck (10 meters):

Total distance = 10 m + 10 m = 20 m

Finally, we can calculate the time it takes for the car to cover this total distance:

Time = Distance / Relative speed
Time = 20 m / 13.89 m/s ≈ 1.44 seconds

Therefore, it will take approximately 1.44 seconds for the car to overtake the truck.