Machine V takes 6 minutes to cut 66 pieces of lumbers. Machine W takes 10 minutes to cut 60 pieces of lumbers. Machine X takes 8 minutes to cut 120 pieces of lumber.
- Which is the faster combination, V and W or W and X? (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 V alone:
6 min → 66 pieces
1 min → 66 ÷ 6 = 11 pieces
Time taken by Machine W alone:
10 min → 60 pieces
1 min → 60 ÷ 10 = 6 pieces
Time taken by Machine X alone:
8 min → 60 pieces
1 min → 120 ÷ 8 = 15 pieces
Time taken by Machine V and Machine W together:
1 min → 11 + 6 = 17 pieces
Time taken by Machine W and Machine X together:
1 min → 6 + 15 = 21 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
= 21 - 17
= 4
Answer(s): (a) W, X or X, W; (b) 4