SOLUTION: During the first part of a trip a bicyclist travels 59 miles at a certain speed the return trip is made at a speed that is 6 mph slower total time for the round trip is 15 hours fi

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Question 812702: During the first part of a trip a bicyclist travels 59 miles at a certain speed the return trip is made at a speed that is 6 mph slower total time for the round trip is 15 hours find the bicyclists average speed on each part of the trip.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For each trip, +d+=+59+ mi
Let +t+ = the time in hrs for the 1st part of the trip
Let +s+ = the speed in mi/hr for the 1st part of the trip
----------------
Equation for 1st part:
(1) +59+=+s%2At+
Equation for 2nd part
(2) +59+=+%28+s-6+%29%2A%28+15+-+t+%29+
--------------------------
(2) +59+=+15s+-+90+-+s%2At+%2B+6t+
and
(1) +t+=+59%2Fs+
---------------
(2) +t%2A%28+s+-+6+%29+=+15s+-+90+-+59+
(2) +t%28+s-6+%29+=+15s+-+149+
Substitute (1) into (2)
(2) +%2859%2Fs%29%2A%28+s-6+%29+=+15s+-+149+
(2) +59%2A%28+s-6+%29+=+15s%5E2+-+149s+
(2) +59s+-+354+=+15s%5E2+-+149s+
(2) +15s%5E2+-+208s+%2B+354+=+0+
You can finish - the kitty has his front leg stretched across
the keyboard