Machine H takes 7 minutes to cut 119 pieces of lumbers. Machine J takes 17 minutes to cut 187 pieces of lumbers. Machine K takes 9 minutes to cut 135 pieces of lumber.
- Which is the faster combination, H and J or J and K? (Eg A, B)
- In 1 minute, how many more pieces of lumbers can be cut by the faster combination compared to the other combination?
(a)
Time taken by Machine H alone:
7 min → 119 pieces
1 min → 119 ÷ 7 = 17 pieces
Time taken by Machine J alone:
17 min → 187 pieces
1 min → 187 ÷ 17 = 11 pieces
Time taken by Machine K alone:
9 min → 187 pieces
1 min → 135 ÷ 9 = 15 pieces
Time taken by Machine H and Machine J together:
1 min → 17 + 11 = 28 pieces
Time taken by Machine J and Machine K together:
1 min → 11 + 15 = 26 pieces
Machine H and J are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine H and J) in 1 minute
= 28 - 26
= 2
Answer(s): (a) H, J or J, H; (b) 2