Machine G takes 9 minutes to cut 108 pieces of lumbers. Machine H takes 13 minutes to cut 104 pieces of lumbers. Machine J takes 11 minutes to cut 165 pieces of lumber.
- Which is the faster combination, G and H or H and J? (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 G alone:
9 min → 108 pieces
1 min → 108 ÷ 9 = 12 pieces
Time taken by Machine H alone:
13 min → 104 pieces
1 min → 104 ÷ 13 = 8 pieces
Time taken by Machine J alone:
11 min → 104 pieces
1 min → 165 ÷ 11 = 15 pieces
Time taken by Machine G and Machine H together:
1 min → 12 + 8 = 20 pieces
Time taken by Machine H and Machine J together:
1 min → 8 + 15 = 23 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
= 23 - 20
= 3
Answer(s): (a) H, J or J, H; (b) 3