SOLUTION: Stephanie and her friend, Paula, are waiting for a shuttle to take them to their terminal at the airport. The first shuttle that arrives only has room for one more passenger, so St

Question 628378: Stephanie and her friend, Paula, are waiting for a shuttle to take them to their terminal at the airport. The first shuttle that arrives only has room for one more passenger, so Stephanie gets on. The next shuttle arrives 10 minutes later and Paula gets on. If Stephanie's shuttle travels at a speed of 26 mph and Paula's shuttle travels at a speed of 32 mph, how long will it take Paula's shuttle to catch up to Stephanie's shuttle?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Stephanie and her friend, Paula, are waiting for a shuttle to take them to
their terminal at the airport.
The first shuttle that arrives only has room for one more passenger, so
Stephanie gets on.
The next shuttle arrives 10 minutes later and Paula gets on.
If Stephanie's shuttle travels at a speed of 26 mph and Paula's shuttle
travels at a speed of 32 mph, how long will it take Paula's shuttle to
catch up to Stephanie's shuttle?
:
Change 10 min to hr
:
Let t = travel time of the 2nd shuttle to catch the first
Let (t+) = travel time of the 1st shuttle
:
When the 2nd catches the 1st, they will have traveled the same distance
Write a distance equation: dist = speed * time
:
32t = 26(t+)
32t = 26t +
32t - 26t =
6t =
multiply both sides by 6 to get rid of the fraction
6(6t) = 26
36t = 26
t = 26/36
t = 13/18 * 60 = 43 min to catch the 1st shuttle
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