SOLUTION: On a particular flight, the fastest plane requires 3 hrs and the slower one 3 hrs and 36 minutes. The fastest plane flies at a ground speed 75 miles per hour faster than another.

Question 834454: On a particular flight, the fastest plane requires 3 hrs and the slower one 3 hrs and 36 minutes. The fastest plane flies at a ground speed 75 miles per hour faster than another. What is the distance of the flight?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Let F = fastest, and S = slowest.
They're covering the same distance.
F is 1.2 times as fast as S (3.6/3 -- the .6 is 36/60 [minutes])
If F = S + 75 and F = 1.2S, we can substitute the value of F
1.2S = S + 75
Subtract S from each side
.2S = 75
Multiply each side by 5 (to get a whole S)
S = 375; therefore F = 450 (The fastest plane flies at a ground speed 75 miles per hour faster than another.)
.
If F flies at 450mph for 3 hours, then the distance is 1350
S flies for 3.6 hours at 375 (3.6 * 375) = 1350
.
Sort of a convoluted problem! I'm sure there are many ways to solve it. This is just one.
RELATED QUESTIONS
one plane flies at a ground speed 50 miles per hour faster than another. on a particular... (answered by Theo)

An airplane flies from Metro city to Gotham with a tailwind that increases its normal... (answered by checkley77)

Two planes make a 600 miles flight one flying 50 mph faster than the other if the slower... (answered by ikleyn)

A transcontinental supersonic plane flies the 3,510 miles from New York to London in 2... (answered by ikleyn,Alan3354)

A plane goes from A to B against the wind in 4 hrs and 30 minutes. It goes back again... (answered by checkley71)

A plane flies 560mi in 1.75 hr traveling with the wind. The return trip later against... (answered by stanbon)

The fastest plane ever made, the Lockheed SR71, was able to travel 2200 miles per hour.... (answered by solver91311)

Christie pilots her plane for 300 mi against a headwind in 2 hrs. The flight would take 1 (answered by Alan3354,Boreal)

With a strong wind behind it, a jet flies 2400 miles from LA to Orlando in 4 3/4 hours.... (answered by Alan3354)