Machine K takes 8 minutes to cut 128 pieces of lumbers. Machine L takes 17 minutes to cut 204 pieces of lumbers. Machine M takes 11 minutes to cut 110 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:
8 min → 128 pieces
1 min → 128 ÷ 8 = 16 pieces
Time taken by Machine L alone:
17 min → 204 pieces
1 min → 204 ÷ 17 = 12 pieces
Time taken by Machine M alone:
11 min → 204 pieces
1 min → 110 ÷ 11 = 10 pieces
Time taken by Machine K and Machine L together:
1 min → 16 + 12 = 28 pieces
Time taken by Machine L and Machine M together:
1 min → 12 + 10 = 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
= 28 - 22
= 6
Answer(s): (a) K, L or L, K; (b) 6