SOLUTION: I am looking for help on this textbook example: Every morning, Yong Yi runs 5 miles, then walks one mile. He runs 6 mph faster than he walks. If his total time yesterday was 45 m

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Question 134451: I am looking for help on this textbook example:
Every morning, Yong Yi runs 5 miles, then walks one mile. He runs 6 mph faster than he walks. If his total time yesterday was 45 minutes, the how fast did he run?
Found 2 solutions by vleith, josmiceli:
Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
Let x = speed walking
Speed running = (x+6)
Time = distance/speed
time = timeRunning + timeWalking

x = -2, x = 4
since he can't walk at -2, walking speed must be 4mph
The running is 10mph
Check your answer. He will run 30 minutes at 10mph to cover 5 miles. He will walk 1 mile in 15 minutes. total 6 miles in 45 minutes. Check!

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let mi/hr = speed walking
Then = speed running
His total time for running and walking
was 45 min or 3/4 hr
He ran 5 mi
He walked 1 mi
In words:
(distance he ran/speed running) + (distance he walked/speed walking) =
(total time)

multiply both sides by

Multiply both sides by 4

Divide both sides by 3

This answer makes no sense in this problem
= speed running

His speed running was 10 mi/hr
check answer:

OK