Machine J takes 5 minutes to cut 75 pieces of lumbers. Machine K takes 17 minutes to cut 204 pieces of lumbers. Machine L takes 9 minutes to cut 117 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:
5 min → 75 pieces
1 min → 75 ÷ 5 = 15 pieces
Time taken by Machine K alone:
17 min → 204 pieces
1 min → 204 ÷ 17 = 12 pieces
Time taken by Machine L alone:
9 min → 204 pieces
1 min → 117 ÷ 9 = 13 pieces
Time taken by Machine J and Machine K together:
1 min → 15 + 12 = 27 pieces
Time taken by Machine K and Machine L together:
1 min → 12 + 13 = 25 pieces
Machine J and K are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine J and K) in 1 minute
= 27 - 25
= 2
Answer(s): (a) J, K or K, J; (b) 2