Machine F takes 8 minutes to cut 88 pieces of lumbers. Machine G takes 15 minutes to cut 90 pieces of lumbers. Machine H takes 12 minutes to cut 168 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:
8 min → 88 pieces
1 min → 88 ÷ 8 = 11 pieces
Time taken by Machine G alone:
15 min → 90 pieces
1 min → 90 ÷ 15 = 6 pieces
Time taken by Machine H alone:
12 min → 90 pieces
1 min → 168 ÷ 12 = 14 pieces
Time taken by Machine F and Machine G together:
1 min → 11 + 6 = 17 pieces
Time taken by Machine G and Machine H together:
1 min → 6 + 14 = 20 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
= 20 - 17
= 3
Answer(s): (a) G, H or H, G; (b) 3