Machine F takes 5 minutes to cut 50 pieces of lumbers. Machine G takes 15 minutes to cut 135 pieces of lumbers. Machine H takes 9 minutes to cut 117 pieces of lumber.
- Which is the faster combination, F and G or G and H? (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 F alone:
5 min → 50 pieces
1 min → 50 ÷ 5 = 10 pieces
Time taken by Machine G alone:
15 min → 135 pieces
1 min → 135 ÷ 15 = 9 pieces
Time taken by Machine H alone:
9 min → 135 pieces
1 min → 117 ÷ 9 = 13 pieces
Time taken by Machine F and Machine G together:
1 min → 10 + 9 = 19 pieces
Time taken by Machine G and Machine H together:
1 min → 9 + 13 = 22 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
= 22 - 19
= 3
Answer(s): (a) G, H or H, G; (b) 3