Machine V takes 5 minutes to cut 80 pieces of lumbers. Machine W takes 20 minutes to cut 220 pieces of lumbers. Machine X takes 10 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:
5 min → 80 pieces
1 min → 80 ÷ 5 = 16 pieces
Time taken by Machine W alone:
20 min → 220 pieces
1 min → 220 ÷ 20 = 11 pieces
Time taken by Machine X alone:
10 min → 220 pieces
1 min → 120 ÷ 10 = 12 pieces
Time taken by Machine V and Machine W together:
1 min → 16 + 11 = 27 pieces
Time taken by Machine W and Machine X together:
1 min → 11 + 12 = 23 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 - 23
= 4
Answer(s): (a) V, W or W, V; (b) 4