Machine V takes 9 minutes to cut 180 pieces of lumbers. Machine W takes 14 minutes to cut 98 pieces of lumbers. Machine X takes 7 minutes to cut 84 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 → 180 pieces
1 min → 180 ÷ 9 = 20 pieces
Time taken by Machine W alone:
14 min → 98 pieces
1 min → 98 ÷ 14 = 7 pieces
Time taken by Machine X alone:
7 min → 98 pieces
1 min → 84 ÷ 7 = 12 pieces
Time taken by Machine V and Machine W together:
1 min → 20 + 7 = 27 pieces
Time taken by Machine W and Machine X together:
1 min → 7 + 12 = 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
= 27 - 19
= 8
Answer(s): (a) V, W or W, V; (b) 8
