Two copiers are being used to produce 2400 copies of a 1 page document. One…

2024

Two copiers are being used to produce 2400 copies of a 1 page document. One copier runs at 150% of the speed of the other. How many copies should be made on the faster copier so that both copiers will finish the same time ?

Answer: C. 1440Answer: 1440 copies on the faster copier. Step-by-step solution: Let x be the number of copies the slower copier makes in the time both finish. The faster…

  1. A.

    1450

  2. B.

    960

  3. C.

    1440

  4. D.

    950

Attempted by 18 students.

Show answer & explanation

Correct answer: C

Answer: 1440 copies on the faster copier.

Step-by-step solution:

  • Let x be the number of copies the slower copier makes in the time both finish.

  • The faster copier runs at 150% of the slower copier, so it makes 1.5 × x copies in the same time.

  • Total copies: x + 1.5x = 2400 → 2.5x = 2400 → x = 960.

  • Copies by the faster copier: 1.5 × 960 = 1440.

Therefore, the faster copier should make 1440 copies so both finish at the same time.

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