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5 November, 15:54

A plane flies round-trip to Philadelphia. If flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 miles per hour. If the total trip takes 6.5 hours, how many miles does the plane fly round-trip?

560 miles

800.8 miles

1,300 miles

1,601.6 miles

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Answers (1)
  1. 5 November, 16:20
    0
    To solve the problem we will use this equation where,

    d will be distance.

    x is the speed of the plane without tailwind.

    y is the speed of the wind affecting the plane.

    Going to Philadelphia the speed of the plane affected by wind will be x-y=220 miles/hr

    Coming back with a tailwind, the speed of the plane will be x+y = 280 miles/hr.

    since time = distance / speed, t1 = d/220 and t2 = d/280

    and since the total time traveled is 6.5hrs

    d/220 + d / 280 = 6.5hrs

    d = 800.8 miles x 2 (back and forth trip) the answer is 1601.6 miles
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