Machine V takes 11 minutes to cut 220 pieces of lumbers. Machine W takes 15 minutes to cut 135 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:
11 min → 220 pieces
1 min → 220 ÷ 11 = 20 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 → 120 ÷ 12 = 10 pieces
Time taken by Machine V and Machine W together:
1 min → 20 + 9 = 29 pieces
Time taken by Machine W and Machine X together:
1 min → 9 + 10 = 19 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
= 29 - 19
= 10
Answer(s): (a) V, W or W, V; (b) 10