Machine M takes 9 minutes to cut 108 pieces of lumbers. Machine N takes 18 minutes to cut 108 pieces of lumbers. Machine P takes 12 minutes to cut 180 pieces of lumber.
- Which is the faster combination, M and N or N and P? (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 M alone:
9 min → 108 pieces
1 min → 108 ÷ 9 = 12 pieces
Time taken by Machine N alone:
18 min → 108 pieces
1 min → 108 ÷ 18 = 6 pieces
Time taken by Machine P alone:
12 min → 108 pieces
1 min → 180 ÷ 12 = 15 pieces
Time taken by Machine M and Machine N together:
1 min → 12 + 6 = 18 pieces
Time taken by Machine N and Machine P together:
1 min → 6 + 15 = 21 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
= 21 - 18
= 3
Answer(s): (a) N, P or P, N; (b) 3