Machine L takes 9 minutes to cut 108 pieces of lumbers. Machine M takes 19 minutes to cut 190 pieces of lumbers. Machine N takes 11 minutes to cut 154 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:
9 min → 108 pieces
1 min → 108 ÷ 9 = 12 pieces
Time taken by Machine M alone:
19 min → 190 pieces
1 min → 190 ÷ 19 = 10 pieces
Time taken by Machine N alone:
11 min → 190 pieces
1 min → 154 ÷ 11 = 14 pieces
Time taken by Machine L and Machine M together:
1 min → 12 + 10 = 22 pieces
Time taken by Machine M and Machine N together:
1 min → 10 + 14 = 24 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
= 24 - 22
= 2
Answer(s): (a) M, N or N, M; (b) 2