Machine L takes 11 minutes to cut 209 pieces of lumbers. Machine M takes 16 minutes to cut 96 pieces of lumbers. Machine N takes 7 minutes to cut 84 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:
11 min → 209 pieces
1 min → 209 ÷ 11 = 19 pieces
Time taken by Machine M alone:
16 min → 96 pieces
1 min → 96 ÷ 16 = 6 pieces
Time taken by Machine N alone:
7 min → 96 pieces
1 min → 84 ÷ 7 = 12 pieces
Time taken by Machine L and Machine M together:
1 min → 19 + 6 = 25 pieces
Time taken by Machine M and Machine N together:
1 min → 6 + 12 = 18 pieces
Machine L and M are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine L and M) in 1 minute
= 25 - 18
= 7
Answer(s): (a) L, M or M, L; (b) 7