Machine G takes 6 minutes to cut 114 pieces of lumbers. Machine H takes 20 minutes to cut 240 pieces of lumbers. Machine J takes 8 minutes to cut 120 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:
6 min → 114 pieces
1 min → 114 ÷ 6 = 19 pieces
Time taken by Machine H alone:
20 min → 240 pieces
1 min → 240 ÷ 20 = 12 pieces
Time taken by Machine J alone:
8 min → 240 pieces
1 min → 120 ÷ 8 = 15 pieces
Time taken by Machine G and Machine H together:
1 min → 19 + 12 = 31 pieces
Time taken by Machine H and Machine J together:
1 min → 12 + 15 = 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
= 31 - 27
= 4
Answer(s): (a) G, H or H, G; (b) 4