Machine E takes 9 minutes to cut 99 pieces of lumbers. Machine F takes 14 minutes to cut 154 pieces of lumbers. Machine G takes 13 minutes to cut 182 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:
9 min → 99 pieces
1 min → 99 ÷ 9 = 11 pieces
Time taken by Machine F alone:
14 min → 154 pieces
1 min → 154 ÷ 14 = 11 pieces
Time taken by Machine G alone:
13 min → 154 pieces
1 min → 182 ÷ 13 = 14 pieces
Time taken by Machine E and Machine F together:
1 min → 11 + 11 = 22 pieces
Time taken by Machine F and Machine G together:
1 min → 11 + 14 = 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
= 25 - 22
= 3
Answer(s): (a) F, G or G, F; (b) 3