Erica K.
asked 09/09/18Two trucks leave a warehouse at the same time, after how many hours will the two trucks be 787.5 miles apart?
Two trucks leave a warehouse at the same time. One travels due south at an average speed of 58 miles per hour, and the other travels due north at an average speed of 47 miles per hour. After how many hours will the two trucks be 787.5 miles apart?
More
1 Expert Answer
Patrick B. answered 05/17/20
Tutor
4.7
(31)
Math and computer tutor/teacher
Since they are going in opposite directions, you can add the speeds...
(58+47) t = 787.5
105 t = 787.5
t = 7.5
7.5 hours
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Benjamin P.
Distance = Rate x Time in this case, D = 787.5 miles because each driver will drive for the same length of time, we can use their average rate so, D = average rate x Time 787.5 miles = (58mph + 47mph)/2 x Time 787.5 miles / 52.5 mph = 15 hours Since the total time is 15 hours, each driver will drive for 7.5 hours. Answer: Therefore, the total hours is 15 hours when the two trucks are 787.5 miles apart.02/17/23