Machine W takes 11 minutes to cut 176 pieces of lumbers. Machine X takes 18 minutes to cut 108 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:
11 min → 176 pieces
1 min → 176 ÷ 11 = 16 pieces
Time taken by Machine X alone:
18 min → 108 pieces
1 min → 108 ÷ 18 = 6 pieces
Time taken by Machine Y alone:
12 min → 108 pieces
1 min → 120 ÷ 12 = 10 pieces
Time taken by Machine W and Machine X together:
1 min → 16 + 6 = 22 pieces
Time taken by Machine X and Machine Y together:
1 min → 6 + 10 = 16 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
= 22 - 16
= 6
Answer(s): (a) W, X or X, W; (b) 6