Question

A truck has left Amsterdam with a speed of 52 mph. After 5 hours a car has left Amsterdam with a speed of 78 mph. At what distance from Amsterdam will the car catch up with the truck?

Answer 1

Hi,

☆ With Car being the distance from truck , or the catch-up point, create the following

☆ Time equation ; D/60 = D/90 + 2



☆ Distance from Car catch up the truck = 360 mile



HOPE THIS HELPS YOU !

Be Brainly@

Answer 2

Answer:

780 miles

Step-by-step explanation:

Define x:

Let the distance traveled by the car be x

Find the distance the truck covered in the first 5 hours:

Distance = Speed x Time

Distance = 52 x 5 = 260 miles

Find the time needed for the truck to traveled after the 5 hours:

Time = Distance ÷ Speed

Time = (x - 260) / 52

Find the time needed for the car to catch up with the truck:

Time = Distance ÷ Speed

Time = x/ 78

Solve x:

(x - 260) / 52 = x/78

52x = 78(x - 260)

52x = 78x - 20280

26x = 20280

x = 780 miles

Answer: The distance is 780 miles.