Linear Equations in One Variable

SAT Math· difficulty 3/5

A car drives at 50 mph for tt hours, and a bike rides at 15 mph starting 2 hours earlier. How long until the car catches the bike?

  • A

    67\frac{6}{7} hours

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  • B

    1517.5\frac{15}{17.5} hours

  • C

    3035\frac{30}{35} hours

  • D

    67\frac{6}{7} hours (≈0.857)

Explanation

Bike has 30-mile head start. Car closes at 5015=3550 - 15 = 35 mph. Time =30/35=6/7= 30/35 = 6/7 hours.

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