Machine W takes 6 minutes to cut 108 pieces of lumbers. Machine X takes 20 minutes to cut 180 pieces of lumbers. Machine Y takes 12 minutes to cut 120 pieces of lumber.
- Which is the faster combination, W and X or X and Y? (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 W alone:
6 min → 108 pieces
1 min → 108 ÷ 6 = 18 pieces
Time taken by Machine X alone:
20 min → 180 pieces
1 min → 180 ÷ 20 = 9 pieces
Time taken by Machine Y alone:
12 min → 180 pieces
1 min → 120 ÷ 12 = 10 pieces
Time taken by Machine W and Machine X together:
1 min → 18 + 9 = 27 pieces
Time taken by Machine X and Machine Y together:
1 min → 9 + 10 = 19 pieces
Machine W and X are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine W and X) in 1 minute
= 27 - 19
= 8
Answer(s): (a) W, X or X, W; (b) 8