When both printers J and K are used, a collection of books can be printed in 3 hours. While printing, Printer J broke down. As a result, it took 1
13 hours to complete printing. If it would take Printer K 4 hours to print the collection alone,
- How long would it take to print the collection of books using only Printer J? Express your answer in hours.
- How long was Printer J used before it broke down? Express your answer in hours.
(a)
Time taken by Printer J and K:
3 h → 1 collection of books
1 h → 1 ÷ 3 =
13 collection of books
Time taken by only Printer K:
4 h → 1 collection of books
1 h → 1 ÷ 4 =
14 collection of books
Time taken by only Printer J:
1 h →
13 -
14 =
112 collection of books
1 collection of books → 1 ÷
112 = 1 x 12 = 12 h
(b)
Time taken by only Printer K:
1
13 h → 1
13 x
14 =
13 collection of books
Fraction of the collection of books to be done by Printer J
= 1 -
13=
23 Time taken by Printer J before it broke down:
23 collection of books →
23 ÷
13 =
23 x
31 = 2 h
Answer(s): (a) 12 h; (b) 2 h