SOLUTION: Two planes make a 1000 mile flight, one flying 75 miles per hour faster than the other. The quicker plane makes the trip 3 hour faster. lHow long did it take the slower oplane to c

Question 960908: Two planes make a 1000 mile flight, one flying 75 miles per hour faster than the other. The quicker plane makes the trip 3 hour faster. lHow long did it take the slower oplane to complete the flight?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Uniform Rates for Travel, RT=D rate time distance;
r, speed of the slower plane
t, time of travel for slower plane

______________________speed___________time__________distance
FAST__________________r+75____________t-3___________1000
SLOW___________________r_______________t____________1000

EQUATIONS

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Two planes make a 1000 mile flight, one flying 75 miles per hour faster than the other. The quicker plane makes the trip 3 hour faster. lHow long did it take the slower oplane to complete the flight?

Let time taken by slower plane be T
Then time taken by faster plane = T � 3
Speed of slower plane, equals speed of faster plane, less difference in speeds, OR

1,000(T � 3) = 1,000T � 75T(T � 3) ------- Multiplying by LCD, T(T � 3)

(T - 8)(T + 5) = 0
T, or time taken by slower plane = hours OR T = - 5 (ignore)
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