Machine J takes 8 minutes to cut 80 pieces of lumbers. Machine K takes 11 minutes to cut 66 pieces of lumbers. Machine L takes 10 minutes to cut 130 pieces of lumber.
- Which is the faster combination, J and K or K and L? (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 J alone:
8 min → 80 pieces
1 min → 80 ÷ 8 = 10 pieces
Time taken by Machine K alone:
11 min → 66 pieces
1 min → 66 ÷ 11 = 6 pieces
Time taken by Machine L alone:
10 min → 66 pieces
1 min → 130 ÷ 10 = 13 pieces
Time taken by Machine J and Machine K together:
1 min → 10 + 6 = 16 pieces
Time taken by Machine K and Machine L together:
1 min → 6 + 13 = 19 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
= 19 - 16
= 3
Answer(s): (a) K, L or L, K; (b) 3