Machine A takes 11 minutes to cut 165 pieces of lumbers. Machine B takes 14 minutes to cut 126 pieces of lumbers. Machine C takes 8 minutes to cut 80 pieces of lumber.
- Which is the faster combination, A and B or B and C? (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 A alone:
11 min → 165 pieces
1 min → 165 ÷ 11 = 15 pieces
Time taken by Machine B alone:
14 min → 126 pieces
1 min → 126 ÷ 14 = 9 pieces
Time taken by Machine C alone:
8 min → 126 pieces
1 min → 80 ÷ 8 = 10 pieces
Time taken by Machine A and Machine B together:
1 min → 15 + 9 = 24 pieces
Time taken by Machine B and Machine C together:
1 min → 9 + 10 = 19 pieces
Machine A and B are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine A and B) in 1 minute
= 24 - 19
= 5
Answer(s): (a) A, B or B, A; (b) 5