When both printers R and S are used, a collection of books can be printed in 4 hours. While printing, Printer R broke down. As a result, it took 9 hours to complete printing. If it would take Printer S 12 hours to print the collection alone,
- How long would it take to print the collection of books using only Printer R? Express your answer in hours.
- How long was Printer R used before it broke down? Express your answer in hours.
(a)
Time taken by Printer R and S:
4 h → 1 collection of books
1 h → 1 ÷ 4 =
14 collection of books
Time taken by only Printer S:
12 h → 1 collection of books
1 h → 1 ÷ 12 =
112 collection of books
Time taken by only Printer R:
1 h →
14 -
112 =
16 collection of books
1 collection of books → 1 ÷
16 = 1 x 6 = 6 h
(b)
Time taken by only Printer S:
9 h → 9 x
112 =
34 collection of books
Fraction of the collection of books to be done by Printer R
= 1 -
34=
14 Time taken by Printer R before it broke down:
14 collection of books →
14 ÷
14 =
14 x
41 = 1 h
Answer(s): (a) 6 h; (b) 1 h