Machine M takes 6 minutes to cut 84 pieces of lumbers. Machine N takes 10 minutes to cut 110 pieces of lumbers. Machine P takes 12 minutes to cut 144 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 → 84 pieces
1 min → 84 ÷ 6 = 14 pieces
Time taken by Machine N alone:
10 min → 110 pieces
1 min → 110 ÷ 10 = 11 pieces
Time taken by Machine P alone:
12 min → 110 pieces
1 min → 144 ÷ 12 = 12 pieces
Time taken by Machine M and Machine N together:
1 min → 14 + 11 = 25 pieces
Time taken by Machine N and Machine P together:
1 min → 11 + 12 = 23 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 - 23
= 2
Answer(s): (a) M, N or N, M; (b) 2