Machine Y takes 8 minutes to cut 80 pieces of lumbers. Machine Z takes 18 minutes to cut 198 pieces of lumbers. Machine A takes 9 minutes to cut 108 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:
8 min → 80 pieces
1 min → 80 ÷ 8 = 10 pieces
Time taken by Machine Z alone:
18 min → 198 pieces
1 min → 198 ÷ 18 = 11 pieces
Time taken by Machine A alone:
9 min → 198 pieces
1 min → 108 ÷ 9 = 12 pieces
Time taken by Machine Y and Machine Z together:
1 min → 10 + 11 = 21 pieces
Time taken by Machine Z and Machine A together:
1 min → 11 + 12 = 23 pieces
Machine Z and A are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine Z and A) in 1 minute
= 23 - 21
= 2
Answer(s): (a) Z, A or A, Z; (b) 2