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 ?
- A.
1450
- B.
960
- C.
1440
- D.
950
Attempted by 13 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.