Machine G takes 8 minutes to cut 152 pieces of lumbers. Machine H takes 11 minutes to cut 110 pieces of lumbers. Machine J takes 12 minutes to cut 204 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:
8 min → 152 pieces
1 min → 152 ÷ 8 = 19 pieces
Time taken by Machine H alone:
11 min → 110 pieces
1 min → 110 ÷ 11 = 10 pieces
Time taken by Machine J alone:
12 min → 110 pieces
1 min → 204 ÷ 12 = 17 pieces
Time taken by Machine G and Machine H together:
1 min → 19 + 10 = 29 pieces
Time taken by Machine H and Machine J together:
1 min → 10 + 17 = 27 pieces
Machine G and H are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine G and H) in 1 minute
= 29 - 27
= 2
Answer(s): (a) G, H or H, G; (b) 2