Machine G takes 7 minutes to cut 77 pieces of lumbers. Machine H takes 11 minutes to cut 88 pieces of lumbers. Machine J takes 15 minutes to cut 210 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:
7 min → 77 pieces
1 min → 77 ÷ 7 = 11 pieces
Time taken by Machine H alone:
11 min → 88 pieces
1 min → 88 ÷ 11 = 8 pieces
Time taken by Machine J alone:
15 min → 88 pieces
1 min → 210 ÷ 15 = 14 pieces
Time taken by Machine G and Machine H together:
1 min → 11 + 8 = 19 pieces
Time taken by Machine H and Machine J together:
1 min → 8 + 14 = 22 pieces
Machine H and J are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine H and J) in 1 minute
= 22 - 19
= 3
Answer(s): (a) H, J or J, H; (b) 3