SOLUTION: Tom Farrell is training for another Olympic Medal. To do so, Tom swims 2 miles at a certain speed and then increases his pace by 2 mph and continues for another 12 miles. If Tom’s

Algebra ->  Test -> SOLUTION: Tom Farrell is training for another Olympic Medal. To do so, Tom swims 2 miles at a certain speed and then increases his pace by 2 mph and continues for another 12 miles. If Tom’s       Log On


   

Question 1127551: Tom Farrell is training for another Olympic Medal. To do so, Tom swims 2 miles at a certain speed and then increases his pace by 2 mph and continues for another 12 miles. If Tom’s workout lasted 4 hours, how fast was he swimming on each leg of the swim?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
          SPEED      TIME         DISTANCE

SLOW         r         2/r            2     

FAST        r+2       12/(r+2)        12

Total                 4


2%2Fr%2B12%2F%28r%2B2%29=4
-
1%2Fr%2B6%2F%28r%2B2%29=2
.
.
2r%5E2-3r-2=0
highlight_green%28%282r%2B1%29%28r-2%29=0%29
highlight%28r=2%29

Slow speed was 2 mph and faster speed was 4 mph.