Machine E takes 10 minutes to cut 130 pieces of lumbers. Machine F takes 11 minutes to cut 121 pieces of lumbers. Machine G takes 12 minutes to cut 180 pieces of lumber.
- Which is the faster combination, E and F or F and G? (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 E alone:
10 min → 130 pieces
1 min → 130 ÷ 10 = 13 pieces
Time taken by Machine F alone:
11 min → 121 pieces
1 min → 121 ÷ 11 = 11 pieces
Time taken by Machine G alone:
12 min → 121 pieces
1 min → 180 ÷ 12 = 15 pieces
Time taken by Machine E and Machine F together:
1 min → 13 + 11 = 24 pieces
Time taken by Machine F and Machine G together:
1 min → 11 + 15 = 26 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
= 26 - 24
= 2
Answer(s): (a) F, G or G, F; (b) 2