A sports car, traveling 30 m/s, is 220 meters behind a truck. If the truck is traveling 22 m/s, how much time until the sports car passes the truck.
Dc = 220 + Dt.
30*t = 200 + 22*t.
t = ?.
Correction: Replace 200 with 220.
10
27.5 seconds
To find the time it takes for the sports car to pass the truck, we need to determine the distance it needs to cover to reach the truck.
Given that the sports car is 220 meters behind the truck, and the truck is traveling at a speed of 22 m/s, we can calculate the distance covered by the truck in time 't' using the formula:
Distance = Speed × Time
So, the distance covered by the truck in time 't' is 22t meters.
Since the sports car needs to catch up to the truck, the distance it needs to cover is the sum of the distance covered by the truck and the initial distance between them, which is 220 meters. Therefore, the distance covered by the sports car in time 't' is (22t + 220) meters.
We know that the sports car is traveling at a speed of 30 m/s, so the equation for the distance covered by the sports car is:
Distance = Speed × Time
(22t + 220) = 30t
Now, we can solve for 't' by rearranging the equation:
22t + 220 = 30t
220 = 30t - 22t
220 = 8t
t = 220 / 8
t = 27.5
Therefore, it will take approximately 27.5 seconds for the sports car to pass the truck.