When both printers V and W are used, a collection of books can be printed in 2 hours. While printing, Printer V broke down. As a result, it took 3 hours to complete printing. If it would take Printer W 6 hours to print the collection alone,
- How long would it take to print the collection of books using only Printer V? Express your answer in hours.
- How long was Printer V used before it broke down? Express your answer in hours.
(a)
Time taken by Printer V and W:
2 h → 1 collection of books
1 h → 1 ÷ 2 =
12 collection of books
Time taken by only Printer W:
6 h → 1 collection of books
1 h → 1 ÷ 6 =
16 collection of books
Time taken by only Printer V:
1 h →
12 -
16 =
13 collection of books
1 collection of books → 1 ÷
13 = 1 x 3 = 3 h
(b)
Time taken by only Printer W:
3 h → 3 x
16 =
12 collection of books
Fraction of the collection of books to be done by Printer V
= 1 -
12=
12 Time taken by Printer V before it broke down:
12 collection of books →
12 ÷
12 =
12 x
21 = 1 h
Answer(s): (a) 3 h; (b) 1 h