Machine U takes 11 minutes to cut 165 pieces of lumbers. Machine V takes 14 minutes to cut 84 pieces of lumbers. Machine W takes 12 minutes to cut 120 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:
11 min → 165 pieces
1 min → 165 ÷ 11 = 15 pieces
Time taken by Machine V alone:
14 min → 84 pieces
1 min → 84 ÷ 14 = 6 pieces
Time taken by Machine W alone:
12 min → 84 pieces
1 min → 120 ÷ 12 = 10 pieces
Time taken by Machine U and Machine V together:
1 min → 15 + 6 = 21 pieces
Time taken by Machine V and Machine W together:
1 min → 6 + 10 = 16 pieces
Machine U and V are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine U and V) in 1 minute
= 21 - 16
= 5
Answer(s): (a) U, V or V, U; (b) 5