Emanuel drove home from college traveling an average speed of 70 mph and drove back to the college the following week at an average speed of 62.7 mph. If the total round trip took 11 hours, how much time did it take Emanuel to drive from home back to college?

12hours

Step-by-step explanation:

S=D/T taken

Step-by-step explanation:

Let t represent the time it took Emanuel to drive home from college. If the total round trip took 11 hours, it means that the time it took

Emanuel to drive from home back to college would be (11 - t) hours.

Emanuel drove home from college traveling an average speed of 70 mph.

Distance = speed * time

Distance covered by driving from college to home is

70 * t = 70t

He drove back to the college the following week at an average speed of 62.7 mph.

Distance covered by driving back to college from home is

62.7 (11 - t) = 689.7 - 62.7t

Since the distance travelled is the same, then

689.7 - 62.7t = 70t

70t + 62.7 = 689.7

132.7t = 689.7

t = 689.7/132.7

t = 5.19 hours.

Therefore, the time that it took Emanuel to drive from home back to college is

11 - 5.19 = 5.81 hours