Machine X takes 9 minutes to cut 117 pieces of lumbers. Machine Y takes 14 minutes to cut 154 pieces of lumbers. Machine Z takes 13 minutes to cut 195 pieces of lumber.
- Which is the faster combination, X and Y or Y and Z? (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 X alone:
9 min → 117 pieces
1 min → 117 ÷ 9 = 13 pieces
Time taken by Machine Y alone:
14 min → 154 pieces
1 min → 154 ÷ 14 = 11 pieces
Time taken by Machine Z alone:
13 min → 154 pieces
1 min → 195 ÷ 13 = 15 pieces
Time taken by Machine X and Machine Y together:
1 min → 13 + 11 = 24 pieces
Time taken by Machine Y and Machine Z together:
1 min → 11 + 15 = 26 pieces
Machine Y and Z are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine Y and Z) in 1 minute
= 26 - 24
= 2
Answer(s): (a) Y, Z or Z, Y; (b) 2