Machine V takes 12 minutes to cut 204 pieces of lumbers. Machine W takes 11 minutes to cut 110 pieces of lumbers. Machine X takes 10 minutes to cut 110 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:
12 min → 204 pieces
1 min → 204 ÷ 12 = 17 pieces
Time taken by Machine W alone:
11 min → 110 pieces
1 min → 110 ÷ 11 = 10 pieces
Time taken by Machine X alone:
10 min → 110 pieces
1 min → 110 ÷ 10 = 11 pieces
Time taken by Machine V and Machine W together:
1 min → 17 + 10 = 27 pieces
Time taken by Machine W and Machine X together:
1 min → 10 + 11 = 21 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 - 21
= 6
Answer(s): (a) V, W or W, V; (b) 6