Machine U takes 6 minutes to cut 66 pieces of lumbers. Machine V takes 12 minutes to cut 120 pieces of lumbers. Machine W takes 15 minutes to cut 225 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:
6 min → 66 pieces
1 min → 66 ÷ 6 = 11 pieces
Time taken by Machine V alone:
12 min → 120 pieces
1 min → 120 ÷ 12 = 10 pieces
Time taken by Machine W alone:
15 min → 120 pieces
1 min → 225 ÷ 15 = 15 pieces
Time taken by Machine U and Machine V together:
1 min → 11 + 10 = 21 pieces
Time taken by Machine V and Machine W together:
1 min → 10 + 15 = 25 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
= 25 - 21
= 4
Answer(s): (a) V, W or W, V; (b) 4