Machine E takes 7 minutes to cut 70 pieces of lumbers. Machine F takes 20 minutes to cut 240 pieces of lumbers. Machine G takes 8 minutes to cut 104 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:
7 min → 70 pieces
1 min → 70 ÷ 7 = 10 pieces
Time taken by Machine F alone:
20 min → 240 pieces
1 min → 240 ÷ 20 = 12 pieces
Time taken by Machine G alone:
8 min → 240 pieces
1 min → 104 ÷ 8 = 13 pieces
Time taken by Machine E and Machine F together:
1 min → 10 + 12 = 22 pieces
Time taken by Machine F and Machine G together:
1 min → 12 + 13 = 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