Machine X takes 9 minutes to cut 153 pieces of lumbers. Machine Y takes 12 minutes to cut 120 pieces of lumbers. Machine Z takes 8 minutes to cut 112 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 → 153 pieces
1 min → 153 ÷ 9 = 17 pieces
Time taken by Machine Y alone:
12 min → 120 pieces
1 min → 120 ÷ 12 = 10 pieces
Time taken by Machine Z alone:
8 min → 120 pieces
1 min → 112 ÷ 8 = 14 pieces
Time taken by Machine X and Machine Y together:
1 min → 17 + 10 = 27 pieces
Time taken by Machine Y and Machine Z together:
1 min → 10 + 14 = 24 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 - 24
= 3
Answer(s): (a) X, Y or Y, X; (b) 3