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?
Answers
Answered by
0
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@
☆ 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@
Answered by
1
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.
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