Machine X takes 6 minutes to cut 90 pieces of lumbers. Machine Y takes 19 minutes to cut 228 pieces of lumbers. Machine Z takes 7 minutes to cut 91 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:
6 min → 90 pieces
1 min → 90 ÷ 6 = 15 pieces
Time taken by Machine Y alone:
19 min → 228 pieces
1 min → 228 ÷ 19 = 12 pieces
Time taken by Machine Z alone:
7 min → 228 pieces
1 min → 91 ÷ 7 = 13 pieces
Time taken by Machine X and Machine Y together:
1 min → 15 + 12 = 27 pieces
Time taken by Machine Y and Machine Z together:
1 min → 12 + 13 = 25 pieces
Machine X and Y are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine X and Y) in 1 minute
= 27 - 25
= 2
Answer(s): (a) X, Y or Y, X; (b) 2