Machine V takes 5 minutes to cut 100 pieces of lumbers. Machine W takes 16 minutes to cut 96 pieces of lumbers. Machine X takes 11 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:
5 min → 100 pieces
1 min → 100 ÷ 5 = 20 pieces
Time taken by Machine W alone:
16 min → 96 pieces
1 min → 96 ÷ 16 = 6 pieces
Time taken by Machine X alone:
11 min → 96 pieces
1 min → 110 ÷ 11 = 10 pieces
Time taken by Machine V and Machine W together:
1 min → 20 + 6 = 26 pieces
Time taken by Machine W and Machine X together:
1 min → 6 + 10 = 16 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
= 26 - 16
= 10
Answer(s): (a) V, W or W, V; (b) 10