Machine K takes 6 minutes to cut 120 pieces of lumbers. Machine L takes 20 minutes to cut 180 pieces of lumbers. Machine M takes 8 minutes to cut 104 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 → 120 pieces
1 min → 120 ÷ 6 = 20 pieces
Time taken by Machine L alone:
20 min → 180 pieces
1 min → 180 ÷ 20 = 9 pieces
Time taken by Machine M alone:
8 min → 180 pieces
1 min → 104 ÷ 8 = 13 pieces
Time taken by Machine K and Machine L together:
1 min → 20 + 9 = 29 pieces
Time taken by Machine L and Machine M together:
1 min → 9 + 13 = 22 pieces
Machine K and L are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine K and L) in 1 minute
= 29 - 22
= 7
Answer(s): (a) K, L or L, K; (b) 7