SOLUTION: Can anyone help me with a word problem that I am stuck on? I need to put it into an equation and solve it. It is: As part of an exercise regiment, you walk 2 miles on an indoor

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Question 26263: Can anyone help me with a word problem that I am stuck on? I need to put it into an equation and solve it. It is:
As part of an exercise regiment, you walk 2 miles on an indoor track. Then you jog at twice your walking speed for another 2 miles. If the total time spent walking and jogging is 1 hour, find the walking and jogging rates.
Thank you!
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Walking speed is xmph
Jogging sppeed is 2xmph
Total distance for jogging is 2miles.
TOtal distance for walking is 2 miles.
And total SUM of these two gives the time to be 1 hour.
Expression:
2%2F2x%2B2%2Fx=1%282x%29%28x%29
2(2x+x)=(2x)(x)
2%283x%29=2x%5E2
6x=2x%5E2
2x%5E2-6x=0%2Cx
x%5E2-3x=0%2Cx
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=%28-%28-3%29%2B-sqrt%28%28-3%29%5E2-4%2A1%2A0%29%29%29%2F%282%2A1%29
x=%283%2B-sqrt%289%29%29%2F2 REMOVE "-"
x=%283%2B3%29%2F2
x=3
2(3)=6

Hence, the walking rate was 3mph and the jogging rate was 6mph.
Paul.