Machine V takes 6 minutes to cut 114 pieces of lumbers. Machine W takes 15 minutes to cut 135 pieces of lumbers. Machine X takes 12 minutes to cut 132 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 → 114 pieces
1 min → 114 ÷ 6 = 19 pieces
Time taken by Machine W alone:
15 min → 135 pieces
1 min → 135 ÷ 15 = 9 pieces
Time taken by Machine X alone:
12 min → 135 pieces
1 min → 132 ÷ 12 = 11 pieces
Time taken by Machine V and Machine W together:
1 min → 19 + 9 = 28 pieces
Time taken by Machine W and Machine X together:
1 min → 9 + 11 = 20 pieces
Machine V and W are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine V and W) in 1 minute
= 28 - 20
= 8
Answer(s): (a) V, W or W, V; (b) 8