AMC 8 Daily Practice Round 8

Complete problem set with solutions and individual problem pages

Problem 16 Easy

Place A and Place B were 71 \text{km} apart. Calvin and Yvonne departed from the two places respectively and travelled towards each other. Calvin started his journey 20 minutes later than Yvonne, but he travelled 3 \text{km}/\text{h} faster than Yvonne. They met two hours after Calvin departured from Place A. Calvin travelled at（   ）\text{km}/\text{h}.

  • A.

    14

  • B.

    16

  • C.

    18

  • D.

    20

  • E.

    22

Answer:C

Let Calvin travel x kilometers per hour, and Ynonne travel (x - 3) kilometers per hour.

2x + \frac{7}{3}(x - 3) = 71

Solving gives x = 18.

\therefore Calvin travels 18 kilometers per hour.

Related Problems
Problem 14 AMC 8 Daily Practice Round 8
Problem 15 AMC 8 Daily Practice Round 8
Problem 17 AMC 8 Daily Practice Round 8
Problem 18 AMC 8 Daily Practice Round 8
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