SOLUTION: Peggy competes in a biathlon by running and bicycling around a large loop through a city. She runs the loop one time and bicycles the loop five times. She can run 8 mph and she can
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Question 1009262: Peggy competes in a biathlon by running and bicycling around a large loop through a city. She runs the loop one time and bicycles the loop five times. She can run 8 mph and she can ride 16 mph. If the total time it takes her to complete the race is 1 hr 45 min, determine the distance of the loop.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs for her to bicycle
5 times around the loop
= time in hrs for her to
run around loop 1 time
Let = the distance of the loop in miles
-------------------------------------
Her equation for running:
(1)
Her equation for bicycling:
(2)
---------------------
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
-----------------
(2)
(2)
(2)
(2)
The distance of the loop is 4 mi
check:
(1)
(1)
(1)
(1)
OK
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