Question

Mark's car began a journey from a point at 7 AM, traveling at 30 mph. At 8 AM Jason's car started traveling from the same point at 40 mph in the same direction as Jason. At what time will Jason pass Mark?

A. 11 AM
B. 10 AM
C. 10:30 AM
D. 11:30 AM
E. Jason never passes Mark

Answer 1

Mark and Jason will meet at 11 AM.

Step-by-step explanation:

To find the time at which Jason passes Mark, we need to compare their distances. Since Jason starts an hour after Mark, we need to account for Mark's head start. In one hour, Mark would have traveled 30 miles (distance = speed x time). Now, let's set up an equation:

x = Mark's time (in hours) after 7 AM, when Jason starts

Distance traveled by Mark = 30x

Distance traveled by Jason = 40(x-1)

We want to find the time when both distances are equal, so we can set up the equation:

30x = 40(x-1)

Solving for x:

30x = 40x - 40

-10x = -40

x = 4

This means that Mark and Jason will meet after 4 hours since 7 AM. To find the time, we can add this to 7 AM, so they will meet at 11 AM.