Machine N takes 11 minutes to cut 143 pieces of lumbers. Machine P takes 10 minutes to cut 120 pieces of lumbers. Machine Q takes 8 minutes to cut 80 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:
11 min → 143 pieces
1 min → 143 ÷ 11 = 13 pieces
Time taken by Machine P alone:
10 min → 120 pieces
1 min → 120 ÷ 10 = 12 pieces
Time taken by Machine Q alone:
8 min → 120 pieces
1 min → 80 ÷ 8 = 10 pieces
Time taken by Machine N and Machine P together:
1 min → 13 + 12 = 25 pieces
Time taken by Machine P and Machine Q together:
1 min → 12 + 10 = 22 pieces
Machine N and P are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine N and P) in 1 minute
= 25 - 22
= 3
Answer(s): (a) N, P or P, N; (b) 3