Machine W takes 8 minutes to cut 152 pieces of lumbers. Machine X takes 12 minutes to cut 72 pieces of lumbers. Machine Y takes 7 minutes to cut 77 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:
8 min → 152 pieces
1 min → 152 ÷ 8 = 19 pieces
Time taken by Machine X alone:
12 min → 72 pieces
1 min → 72 ÷ 12 = 6 pieces
Time taken by Machine Y alone:
7 min → 72 pieces
1 min → 77 ÷ 7 = 11 pieces
Time taken by Machine W and Machine X together:
1 min → 19 + 6 = 25 pieces
Time taken by Machine X and Machine Y together:
1 min → 6 + 11 = 17 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
= 25 - 17
= 8
Answer(s): (a) W, X or X, W; (b) 8