When both printers P and Q are used, a collection of books can be printed in 6 hours. While printing, Printer P broke down. As a result, it took 3
13 hours to complete printing. If it would take Printer Q 10 hours to print the collection alone,
- How long would it take to print the collection of books using only Printer P? Express your answer in hours.
- How long was Printer P used before it broke down? Express your answer in hours.
(a)
Time taken by Printer P and Q:
6 h → 1 collection of books
1 h → 1 ÷ 6 =
16 collection of books
Time taken by only Printer Q:
10 h → 1 collection of books
1 h → 1 ÷ 10 =
110 collection of books
Time taken by only Printer P:
1 h →
16 -
110 =
115 collection of books
1 collection of books → 1 ÷
115 = 1 x 15 = 15 h
(b)
Time taken by only Printer Q:
3
13 h → 3
13 x
110 =
13 collection of books
Fraction of the collection of books to be done by Printer P
= 1 -
13=
23 Time taken by Printer P before it broke down:
23 collection of books →
23 ÷
16 =
23 x
61 = 4 h
Answer(s): (a) 15 h; (b) 4 h