Machine M takes 5 minutes to cut 90 pieces of lumbers. Machine N takes 17 minutes to cut 204 pieces of lumbers. Machine P takes 8 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:
5 min → 90 pieces
1 min → 90 ÷ 5 = 18 pieces
Time taken by Machine N alone:
17 min → 204 pieces
1 min → 204 ÷ 17 = 12 pieces
Time taken by Machine P alone:
8 min → 204 pieces
1 min → 120 ÷ 8 = 15 pieces
Time taken by Machine M and Machine N together:
1 min → 18 + 12 = 30 pieces
Time taken by Machine N and Machine P together:
1 min → 12 + 15 = 27 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
= 30 - 27
= 3
Answer(s): (a) M, N or N, M; (b) 3