SOLUTION: At 9:00 a.m., Your friends begin hiking at 2mi/h. You begin from the same place at 9:25 a.m. You hike at 3mi/h. a. How long will you have hiked when you catch up with your frien

Question 1054159: At 9:00 a.m., Your friends begin hiking at 2mi/h. You begin from the same place at 9:25 a.m. You hike at 3mi/h.
a. How long will you have hiked when you catch up with your friends?
b. At what time will you catch up with your friends?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
9:25 minus 9:00 = 25 min
25 min = hrs
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What is your friend's head start in miles?

mi
-----------------------
Start a stopwatch when you start hiking and
stop it when you catch up with friends
Let = time on stopwatch in hrs
Let = distance in miles you travel
until you catch up with friends
----------------------------------------
Your equation:
(1)
Friend's equation:
(2)
-----------------------
Plug (1) into (2)
(2)
(2)
and
(1)
(1)
----------------------
(a)
You hike 2.5 mi until you catch up with friends
(b)
hrs
9:25 + 50 min = 10:15
You catch up with friends at 10:15
------------------------------------
check:
Your friends should cover mi in 25 min plus 50 min
= 75 min which is 1.25 hrs

mi
OK

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