Machine N takes 5 minutes to cut 50 pieces of lumbers. Machine P takes 11 minutes to cut 132 pieces of lumbers. Machine Q takes 10 minutes to cut 130 pieces of lumber.
- Which is the faster combination, N and P or P and Q? (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 N alone:
5 min → 50 pieces
1 min → 50 ÷ 5 = 10 pieces
Time taken by Machine P alone:
11 min → 132 pieces
1 min → 132 ÷ 11 = 12 pieces
Time taken by Machine Q alone:
10 min → 132 pieces
1 min → 130 ÷ 10 = 13 pieces
Time taken by Machine N and Machine P together:
1 min → 10 + 12 = 22 pieces
Time taken by Machine P and Machine Q together:
1 min → 12 + 13 = 25 pieces
Machine P and Q are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine P and Q) in 1 minute
= 25 - 22
= 3
Answer(s): (a) P, Q or Q, P; (b) 3