Machine F takes 11 minutes to cut 220 pieces of lumbers. Machine G takes 19 minutes to cut 171 pieces of lumbers. Machine H takes 7 minutes to cut 112 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:
11 min → 220 pieces
1 min → 220 ÷ 11 = 20 pieces
Time taken by Machine G alone:
19 min → 171 pieces
1 min → 171 ÷ 19 = 9 pieces
Time taken by Machine H alone:
7 min → 171 pieces
1 min → 112 ÷ 7 = 16 pieces
Time taken by Machine F and Machine G together:
1 min → 20 + 9 = 29 pieces
Time taken by Machine G and Machine H together:
1 min → 9 + 16 = 25 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
= 29 - 25
= 4
Answer(s): (a) F, G or G, F; (b) 4