Machine K takes 6 minutes to cut 66 pieces of lumbers. Machine L takes 13 minutes to cut 104 pieces of lumbers. Machine M takes 11 minutes to cut 165 pieces of lumber.
- Which is the faster combination, K and L or L and M? (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 K alone:
6 min → 66 pieces
1 min → 66 ÷ 6 = 11 pieces
Time taken by Machine L alone:
13 min → 104 pieces
1 min → 104 ÷ 13 = 8 pieces
Time taken by Machine M alone:
11 min → 104 pieces
1 min → 165 ÷ 11 = 15 pieces
Time taken by Machine K and Machine L together:
1 min → 11 + 8 = 19 pieces
Time taken by Machine L and Machine M together:
1 min → 8 + 15 = 23 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
= 23 - 19
= 4
Answer(s): (a) L, M or M, L; (b) 4