SOLUTION: Sam flew a distance of 500/hrs miles at a normal speed. On the trip back ( also 500 miles) Sam doubled the speed of the plane. How fast did Sam fly on the way back if the total tra

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Question 1157795: Sam flew a distance of 500/hrs miles at a normal speed. On the trip back ( also 500 miles) Sam doubled the speed of the plane. How fast did Sam fly on the way back if the total travelling time was 5 hours ?
Please show work thanks!!
Found 4 solutions by josgarithmetic, cv119252, MathTherapy, Alan3354:
Answer by josgarithmetic(39627) About Me  (Show Source):
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       SPEED     TIME         DISTANCE

TO       r        500/r        500

BACK    2r        500/(2r)     500

Total              5

500%2Fr%2B500%2F%282r%29=5
Solve for 2r.

highlight%282r=300%29

Answer by cv119252(2) About Me  (Show Source):
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Sam travels at a speed of 2500 mile on the way back
It say on the way back he double the spead so it should be 1000, but then he travels for 5 hrs in total so 2h:30 while going and coming back.
so u multiply 1000 miles with 2.5hrs and get 2500 miles

Answer by MathTherapy(10556) About Me  (Show Source):
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Sam flew a distance of 500/hrs miles at a normal speed. On the trip back ( also 500 miles) Sam doubled the speed of the plane. How fast did Sam fly on the way back if the total travelling time was 5 hours ?
Please show work thanks!!
Let outbound speed be S

Then return speed = 2S

We then get the following TIME equation: matrix%281%2C3%2C+5%2C+%22=%22%2C+500%2FS+%2B+500%2F%282S%29%29

matrix%281%2C3%2C+1%2C+%22=%22%2C+100%2FS+%2B+100%2F%282S%29%29 ------ Reducing fractions by factoring out numerator GCF, 5

2S = 200 + 100 ------ Multiplying by LCD, 2S

Return speed or highlight_green%28matrix%281%2C4%2C+2S%2C+%22=%22%2C+300%2C+mph%29%29

Accept NO other ANSWER!!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Sam flew a distance of 500/hrs miles
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"500/hrs miles" is not a distance.
I don't know what means, but it's not a distance.