Machine M takes 6 minutes to cut 60 pieces of lumbers. Machine N takes 13 minutes to cut 78 pieces of lumbers. Machine P takes 9 minutes to cut 126 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:
6 min → 60 pieces
1 min → 60 ÷ 6 = 10 pieces
Time taken by Machine N alone:
13 min → 78 pieces
1 min → 78 ÷ 13 = 6 pieces
Time taken by Machine P alone:
9 min → 78 pieces
1 min → 126 ÷ 9 = 14 pieces
Time taken by Machine M and Machine N together:
1 min → 10 + 6 = 16 pieces
Time taken by Machine N and Machine P together:
1 min → 6 + 14 = 20 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
= 20 - 16
= 4
Answer(s): (a) N, P or P, N; (b) 4