Machine L takes 5 minutes to cut 95 pieces of lumbers. Machine M takes 15 minutes to cut 90 pieces of lumbers. Machine N takes 12 minutes to cut 156 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 → 95 pieces
1 min → 95 ÷ 5 = 19 pieces
Time taken by Machine M alone:
15 min → 90 pieces
1 min → 90 ÷ 15 = 6 pieces
Time taken by Machine N alone:
12 min → 90 pieces
1 min → 156 ÷ 12 = 13 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 + 13 = 19 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 - 19
= 6
Answer(s): (a) L, M or M, L; (b) 6