Machine M takes 7 minutes to cut 133 pieces of lumbers. Machine N takes 18 minutes to cut 108 pieces of lumbers. Machine P takes 12 minutes to cut 120 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:
7 min → 133 pieces
1 min → 133 ÷ 7 = 19 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 → 120 ÷ 12 = 10 pieces
Time taken by Machine M and Machine N together:
1 min → 19 + 6 = 25 pieces
Time taken by Machine N and Machine P together:
1 min → 6 + 10 = 16 pieces
Machine M and N are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine M and N) in 1 minute
= 25 - 16
= 9
Answer(s): (a) M, N or N, M; (b) 9