A car moving at 120 km/h is 100 km behind a truck travelling at 80 km/h in the same direction. How many km does the car travel before it overtakes the truck?
Dc = 100km + Dt.
Vc*t = 100 + Vt*t.
120*t = 100 + 80*t.
40t = 100.
t = 2.5 h. To catchup.
Dc = V*t = 120 * 2.5 = 300 km To catchup.
To determine how many kilometers the car travels before it overtakes the truck, you need to calculate the time it takes for the car to cover the distance of 100 km more than the truck.
The relative speed between the car and the truck can be found by subtracting the speed of the truck from the speed of the car:
Relative speed = Car's speed - Truck's speed = 120 km/h - 80 km/h = 40 km/h
Since the car is 100 km behind the truck, it needs to cover this distance with a relative speed of 40 km/h.
To calculate the time it takes, you can use the formula: Time = Distance / Speed
Time = 100 km / 40 km/h = 2.5 hours
Therefore, the car will take 2.5 hours to overtake the truck.
To find out the distance the car travels before it overtakes the truck, you can use the formula: Distance = Speed × Time
Distance = 120 km/h × 2.5 hours = 300 km
So, the car will travel 300 km before it overtakes the truck.