AMC 10 Daily Practice Round 2

Complete problem set with solutions and individual problem pages

Problem 6 Easy

Jason walks from his home to school. If he walks 75 meters per minute, he will be 8 minutes late; if he walks 80 meters per minute, he will be 6 minutes late. In order to arrive on time, how fast should Jason walk in meters per minute?

  • A.

    90

  • B.

    100

  • C.

    110

  • D.

    120

  • E.

    130

Answer:B

The required time is \left( 75\times 8-80\times 6 \right)\div \left( 80-75 \right)=24 minutes. 75\times \left( 24+8 \right)\div 24=100 meters per minute. Alternatively, we can also set up a rational equation to solve the problem.

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