Machine G takes 10 minutes to cut 200 pieces of lumbers. Machine H takes 13 minutes to cut 91 pieces of lumbers. Machine J takes 11 minutes to cut 143 pieces of lumber.
- Which is the faster combination, G and H or H and J? (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 G alone:
10 min → 200 pieces
1 min → 200 ÷ 10 = 20 pieces
Time taken by Machine H alone:
13 min → 91 pieces
1 min → 91 ÷ 13 = 7 pieces
Time taken by Machine J alone:
11 min → 91 pieces
1 min → 143 ÷ 11 = 13 pieces
Time taken by Machine G and Machine H together:
1 min → 20 + 7 = 27 pieces
Time taken by Machine H and Machine J together:
1 min → 7 + 13 = 20 pieces
Machine G and H are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine G and H) in 1 minute
= 27 - 20
= 7
Answer(s): (a) G, H or H, G; (b) 7