SOLUTION: A plane can travel 910 miles with a 35 mph tailwind in the same time it can travel 760 miles with a 40 mph headwind. How fast can the plane travel with no wind resistance?

Question 769242: A plane can travel 910 miles with a 35 mph tailwind in the same time it can travel 760 miles with a 40 mph headwind. How fast can the plane travel with no wind resistance?
Answer by josgarithmetic(39800) (Show Source): You can put this solution on YOUR website!
Basic concept is r*t=d, r rate, t time, d distance.
Including tailwind help, rate is r+35.
Including headwind hindrance, rate is r-40.

910 mph with tailwind, time t, distance unknown.

760 mph with headwind, time t, distance unknown.

Those two equations just use the meaning of rate for traveling or motion. MILES per TIME.

"in the same time..." The value for t is the same number in both equations.

and

EQUATE the expressions for t:

SOLVE FOR r.
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