Machine Y takes 7 minutes to cut 140 pieces of lumbers. Machine Z takes 10 minutes to cut 80 pieces of lumbers. Machine A takes 9 minutes to cut 153 pieces of lumber.
- Which is the faster combination, Y and Z or Z and A? (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 Y alone:
7 min → 140 pieces
1 min → 140 ÷ 7 = 20 pieces
Time taken by Machine Z alone:
10 min → 80 pieces
1 min → 80 ÷ 10 = 8 pieces
Time taken by Machine A alone:
9 min → 80 pieces
1 min → 153 ÷ 9 = 17 pieces
Time taken by Machine Y and Machine Z together:
1 min → 20 + 8 = 28 pieces
Time taken by Machine Z and Machine A together:
1 min → 8 + 17 = 25 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
= 28 - 25
= 3
Answer(s): (a) Y, Z or Z, Y; (b) 3