Machine U takes 10 minutes to cut 100 pieces of lumbers. Machine V takes 16 minutes to cut 112 pieces of lumbers. Machine W takes 14 minutes to cut 182 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 → 100 pieces
1 min → 100 ÷ 10 = 10 pieces
Time taken by Machine V alone:
16 min → 112 pieces
1 min → 112 ÷ 16 = 7 pieces
Time taken by Machine W alone:
14 min → 112 pieces
1 min → 182 ÷ 14 = 13 pieces
Time taken by Machine U and Machine V together:
1 min → 10 + 7 = 17 pieces
Time taken by Machine V and Machine W together:
1 min → 7 + 13 = 20 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
= 20 - 17
= 3
Answer(s): (a) V, W or W, V; (b) 3