Machine K takes 7 minutes to cut 119 pieces of lumbers. Machine L takes 13 minutes to cut 104 pieces of lumbers. Machine M takes 12 minutes to cut 156 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:
7 min → 119 pieces
1 min → 119 ÷ 7 = 17 pieces
Time taken by Machine L alone:
13 min → 104 pieces
1 min → 104 ÷ 13 = 8 pieces
Time taken by Machine M alone:
12 min → 104 pieces
1 min → 156 ÷ 12 = 13 pieces
Time taken by Machine K and Machine L together:
1 min → 17 + 8 = 25 pieces
Time taken by Machine L and Machine M together:
1 min → 8 + 13 = 21 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
= 25 - 21
= 4
Answer(s): (a) K, L or L, K; (b) 4