AMC 8 Daily Practice Round 9

Complete problem set with solutions and individual problem pages

Problem 3 Easy

A train took H hours to travel D kilometers from Applewood to Aurora, arriving 2 hours late. What speed should it have traveled at to arrive on time?

  • A.

    H+2

  • B.

    H-2

  • C.

    \frac{D}{H}+2

  • D.

    \frac{D}{H+2}

  • E.

    \frac{D}{H-2}

Answer:E

The required time is now H - 2 hours, while the distance remains D kilometers.

∴ The required speed is \frac{D}{H-2}.

The answer is \text{E}.