Machine M takes 6 minutes to cut 66 pieces of lumbers. Machine N takes 17 minutes to cut 102 pieces of lumbers. Machine P takes 10 minutes to cut 150 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 → 66 pieces
1 min → 66 ÷ 6 = 11 pieces
Time taken by Machine N alone:
17 min → 102 pieces
1 min → 102 ÷ 17 = 6 pieces
Time taken by Machine P alone:
10 min → 102 pieces
1 min → 150 ÷ 10 = 15 pieces
Time taken by Machine M and Machine N together:
1 min → 11 + 6 = 17 pieces
Time taken by Machine N and Machine P together:
1 min → 6 + 15 = 21 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
= 21 - 17
= 4
Answer(s): (a) N, P or P, N; (b) 4