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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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!
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