Machine F takes 12 minutes to cut 192 pieces of lumbers. Machine G takes 17 minutes to cut 136 pieces of lumbers. Machine H takes 7 minutes to cut 98 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:
12 min → 192 pieces
1 min → 192 ÷ 12 = 16 pieces
Time taken by Machine G alone:
17 min → 136 pieces
1 min → 136 ÷ 17 = 8 pieces
Time taken by Machine H alone:
7 min → 136 pieces
1 min → 98 ÷ 7 = 14 pieces
Time taken by Machine F and Machine G together:
1 min → 16 + 8 = 24 pieces
Time taken by Machine G and Machine H together:
1 min → 8 + 14 = 22 pieces
Machine F and G are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine F and G) in 1 minute
= 24 - 22
= 2
Answer(s): (a) F, G or G, F; (b) 2