Machine M takes 8 minutes to cut 88 pieces of lumbers. Machine N takes 16 minutes to cut 192 pieces of lumbers. Machine P takes 12 minutes to cut 168 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:
8 min → 88 pieces
1 min → 88 ÷ 8 = 11 pieces
Time taken by Machine N alone:
16 min → 192 pieces
1 min → 192 ÷ 16 = 12 pieces
Time taken by Machine P alone:
12 min → 192 pieces
1 min → 168 ÷ 12 = 14 pieces
Time taken by Machine M and Machine N together:
1 min → 11 + 12 = 23 pieces
Time taken by Machine N and Machine P together:
1 min → 12 + 14 = 26 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
= 26 - 23
= 3
Answer(s): (a) N, P or P, N; (b) 3