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Linear Equations in One Variable

SAT Math· difficulty 5/5

A plane flies 1,5001{,}500 miles with a tailwind in 55 hours. The same trip against the same wind takes 66 hours. What is the speed of the plane in still air?

  • A

    275 mph

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  • B

    300 mph

  • C

    280 mph

  • D

    325 mph

Explanation

Let pp = plane speed, ww = wind. p+w=1500/5=300p + w = 1500/5 = 300 and p−w=1500/6=250p - w = 1500/6 = 250. Adding: 2p=5502p = 550, so p=275p = 275 mph.

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