Machine L takes 5 minutes to cut 50 pieces of lumbers. Machine M takes 11 minutes to cut 132 pieces of lumbers. Machine N takes 8 minutes to cut 112 pieces of lumber.
- Which is the faster combination, L and M or M and N? (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 L alone:
5 min → 50 pieces
1 min → 50 ÷ 5 = 10 pieces
Time taken by Machine M alone:
11 min → 132 pieces
1 min → 132 ÷ 11 = 12 pieces
Time taken by Machine N alone:
8 min → 132 pieces
1 min → 112 ÷ 8 = 14 pieces
Time taken by Machine L and Machine M together:
1 min → 10 + 12 = 22 pieces
Time taken by Machine M and Machine N together:
1 min → 12 + 14 = 26 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
= 26 - 22
= 4
Answer(s): (a) M, N or N, M; (b) 4