Machine J takes 10 minutes to cut 110 pieces of lumbers. Machine K takes 11 minutes to cut 110 pieces of lumbers. Machine L takes 8 minutes to cut 112 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:
10 min → 110 pieces
1 min → 110 ÷ 10 = 11 pieces
Time taken by Machine K alone:
11 min → 110 pieces
1 min → 110 ÷ 11 = 10 pieces
Time taken by Machine L alone:
8 min → 110 pieces
1 min → 112 ÷ 8 = 14 pieces
Time taken by Machine J and Machine K together:
1 min → 11 + 10 = 21 pieces
Time taken by Machine K and Machine L together:
1 min → 10 + 14 = 24 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
= 24 - 21
= 3
Answer(s): (a) K, L or L, K; (b) 3