Machine U takes 10 minutes to cut 200 pieces of lumbers. Machine V takes 12 minutes to cut 108 pieces of lumbers. Machine W takes 7 minutes to cut 77 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:
10 min → 200 pieces
1 min → 200 ÷ 10 = 20 pieces
Time taken by Machine V alone:
12 min → 108 pieces
1 min → 108 ÷ 12 = 9 pieces
Time taken by Machine W alone:
7 min → 108 pieces
1 min → 77 ÷ 7 = 11 pieces
Time taken by Machine U and Machine V together:
1 min → 20 + 9 = 29 pieces
Time taken by Machine V and Machine W together:
1 min → 9 + 11 = 20 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
= 29 - 20
= 9
Answer(s): (a) U, V or V, U; (b) 9