Machine V takes 9 minutes to cut 144 pieces of lumbers. Machine W takes 16 minutes to cut 160 pieces of lumbers. Machine X takes 8 minutes to cut 104 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 → 144 pieces
1 min → 144 ÷ 9 = 16 pieces
Time taken by Machine W alone:
16 min → 160 pieces
1 min → 160 ÷ 16 = 10 pieces
Time taken by Machine X alone:
8 min → 160 pieces
1 min → 104 ÷ 8 = 13 pieces
Time taken by Machine V and Machine W together:
1 min → 16 + 10 = 26 pieces
Time taken by Machine W and Machine X together:
1 min → 10 + 13 = 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
= 26 - 23
= 3
Answer(s): (a) V, W or W, V; (b) 3