Machine K takes 11 minutes to cut 220 pieces of lumbers. Machine L takes 18 minutes to cut 216 pieces of lumbers. Machine M takes 12 minutes to cut 204 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:
11 min → 220 pieces
1 min → 220 ÷ 11 = 20 pieces
Time taken by Machine L alone:
18 min → 216 pieces
1 min → 216 ÷ 18 = 12 pieces
Time taken by Machine M alone:
12 min → 216 pieces
1 min → 204 ÷ 12 = 17 pieces
Time taken by Machine K and Machine L together:
1 min → 20 + 12 = 32 pieces
Time taken by Machine L and Machine M together:
1 min → 12 + 17 = 29 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
= 32 - 29
= 3
Answer(s): (a) K, L or L, K; (b) 3