Machine V takes 9 minutes to cut 171 pieces of lumbers. Machine W takes 18 minutes to cut 144 pieces of lumbers. Machine X takes 12 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:
9 min → 171 pieces
1 min → 171 ÷ 9 = 19 pieces
Time taken by Machine W alone:
18 min → 144 pieces
1 min → 144 ÷ 18 = 8 pieces
Time taken by Machine X alone:
12 min → 144 pieces
1 min → 120 ÷ 12 = 10 pieces
Time taken by Machine V and Machine W together:
1 min → 19 + 8 = 27 pieces
Time taken by Machine W and Machine X together:
1 min → 8 + 10 = 18 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
= 27 - 18
= 9
Answer(s): (a) V, W or W, V; (b) 9