earlier in this forum, marina asked the same question as i did. unfortunately, someone did answer, very clearly, but for some reason i remained to be a little lost. Here is the question:

A car traveling 90 km/h is 100 m behind a truck traveling 75 km/h. How
long will it take the car to reach the truck?

Can someone pleasee tell me the answer to this problem and HOW they solved it. THANK YOU!! =)

I don't know physics, but I can show you one way to solve this problem.

First, let's find how many meters each vehicle covers in one minute.

90 km/h = 90,000 m/h = 1500 m/minute
75 km/h = 75,000 m/h = 1250 m/minute

1500 - 1250 = 250 meters

100/250 = 0.4 minute

Convert km/h to m/s:

(90 km/h)(1000m/1km)(1 h/3600s) = 25.000 m/s
(75 km/h)(1000m/1km)(1 h/3600s) = 20.833 m/s
Let time of catching up = t
The distance travelled by slower car = (20.833 m/s)(t)
The distance travelled by faster car = (25.000 m/s)(t)
The distance travelled by the faster car is 100 m longer than the slower car:
(20.833 m/s)(t)+100m = (25.000m/s)(t)
100 m = (25.000m/s - 20.833 m/s)t
Without units:
100 = (25.000 - 20.833)t
You should ba able to find the time in seconds, t, on your own.

The 100 m between the cars closes at a rate of 15km/h = 15,000 m/h

The gap becomes zero after 100/15,000 = 1/150 h = 0.40 min = 24 s

We all agree

THANK YOU SOO MUCH!! THIS REALLY HELPED!!!

To find out how long it will take for the car to reach the truck, we first need to determine the relative speed between the two vehicles. The relative speed is the difference between their speeds.

In this case, the car is traveling at 90 km/h, while the truck is traveling at 75 km/h. Therefore, the relative speed between the car and the truck is:

Relative speed = Car's speed - Truck's speed
Relative speed = 90 km/h - 75 km/h
Relative speed = 15 km/h

Now that we know the relative speed, we can calculate the time it will take for the car to cover the 100 m distance between them.

To do this, we need to convert the relative speed from km/h to m/s, as the distance is given in meters.

1 km/h = (1/3.6) m/s (since 1 km = 1000 m and 1 hour = 3600 seconds)

Therefore, the relative speed is:

Relative speed = 15 km/h * (1/3.6) m/s
Relative speed = 4.17 m/s

Now, using the formula time = distance / speed, we can calculate the time it will take:

Time = Distance / Relative speed
Time = 100 m / 4.17 m/s
Time = 24 seconds (rounded to the nearest whole number)

So, it will take approximately 24 seconds for the car to reach the truck if they continue to travel at their respective speeds.