Question

College roommates John and David were driving home to the same town for the holidays. John drove 55mph, and David, who left an hour later, drove 60mph. How long will it take for David to catch up to John?

Answer 1

Answer:

sorry

Step-by-step explanation:

Answer 2

It will take for David 11 hours to catch up with John

Speed is the ratio of distance traveled to the total time taken. Speed is given by:

Speed = distance / time

Let d represent the distance at which both John and David meet up at time t hour.

Since drove at 55 mph and is an hour faster, hence:

55 = d / (t + 1)

d = 55t + 55    (1)

John is driving at 60 mph, hence:

60 = d / t

d = 60t    (2)

equating equation 1 and 2:

55t + 55 = 60t

5t = 55

t = 11 hours

Hence, it will take for David 11 hours to catch up with John

Find out more at: https://brainly.com/question/2261058