SOLUTION: Two cyclists competed in a 5 mile bicycle race. The more experienced cyclist gave the novice cyclist a head start of .6 mile and still won the race by 2 minutes. If the experienced
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Question 729155: Two cyclists competed in a 5 mile bicycle race. The more experienced cyclist gave the novice cyclist a head start of .6 mile and still won the race by 2 minutes. If the experienced cyclist's average speed was 3 mph faster than the novice's average speed, what was the novice's average speed?
Can you please show the work.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Start a stop watch when the experienced cyclist leaves.
Stop it when that cyclist finishes
Let = experienced cyclist's time to finish
Let = experienced cyclists average speed
---------------
Novice cyclist's equation:
(1) ( 2 min is converted to hours )
Experienced cyclist's equation:
(2)
--------------
(1)
and
(2)
(1)
(1)
(1)
(1)
use quadratic formula
and
(2)
(2)
(2)
The novice's speed is 12 mi/hr
check:
(1)
(1)
(1)
(1)
(1)
OK
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