SOLUTION: A jet plane, flying mph faster than a propeller plane, travels 5940 miles in 6 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fl
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Question 653389: A jet plane, flying mph faster than a propeller plane, travels 5940 miles in 6 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You didn't share the value of the speed difference, so we'll just call that value 
. We'll let 
represent the faster speed and 
represent the time taken by the faster aircraft.
Time is equal to distance divided by rate, so for the jet:
And for the slower plane:
Add -6 to both sides and apply the LCD to combine the fractions:
}{r\ -\ \delta}\ =\ t)
Now that you have two expressions both equal to , set them equal to each other:
}{r\ -\ \delta}\ =\ \frac{5940}{r})
Once you have your difference value, plug it in. Then cross-multiply, collect like terms into the LHS, and solve the quadratic. Discard the negative root.
John
My calculator said it, I believe it, that settles it
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