Machine H takes 5 minutes to cut 55 pieces of lumbers. Machine J takes 13 minutes to cut 104 pieces of lumbers. Machine K takes 14 minutes to cut 196 pieces of lumber.
- Which is the faster combination, H and J or J and K? (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 H alone:
5 min → 55 pieces
1 min → 55 ÷ 5 = 11 pieces
Time taken by Machine J alone:
13 min → 104 pieces
1 min → 104 ÷ 13 = 8 pieces
Time taken by Machine K alone:
14 min → 104 pieces
1 min → 196 ÷ 14 = 14 pieces
Time taken by Machine H and Machine J together:
1 min → 11 + 8 = 19 pieces
Time taken by Machine J and Machine K together:
1 min → 8 + 14 = 22 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
= 22 - 19
= 3
Answer(s): (a) J, K or K, J; (b) 3