Machine X takes 5 minutes to cut 50 pieces of lumbers. Machine Y takes 15 minutes to cut 135 pieces of lumbers. Machine Z takes 14 minutes to cut 210 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:
5 min → 50 pieces
1 min → 50 ÷ 5 = 10 pieces
Time taken by Machine Y alone:
15 min → 135 pieces
1 min → 135 ÷ 15 = 9 pieces
Time taken by Machine Z alone:
14 min → 135 pieces
1 min → 210 ÷ 14 = 15 pieces
Time taken by Machine X and Machine Y together:
1 min → 10 + 9 = 19 pieces
Time taken by Machine Y and Machine Z together:
1 min → 9 + 15 = 24 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
= 24 - 19
= 5
Answer(s): (a) Y, Z or Z, Y; (b) 5