Machine U takes 8 minutes to cut 88 pieces of lumbers. Machine V takes 12 minutes to cut 96 pieces of lumbers. Machine W takes 10 minutes to cut 140 pieces of lumber.
- Which is the faster combination, U and V or V and W? (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 U alone:
8 min → 88 pieces
1 min → 88 ÷ 8 = 11 pieces
Time taken by Machine V alone:
12 min → 96 pieces
1 min → 96 ÷ 12 = 8 pieces
Time taken by Machine W alone:
10 min → 96 pieces
1 min → 140 ÷ 10 = 14 pieces
Time taken by Machine U and Machine V together:
1 min → 11 + 8 = 19 pieces
Time taken by Machine V and Machine W together:
1 min → 8 + 14 = 22 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
= 22 - 19
= 3
Answer(s): (a) V, W or W, V; (b) 3