Machine Y takes 9 minutes to cut 99 pieces of lumbers. Machine Z takes 11 minutes to cut 110 pieces of lumbers. Machine A takes 10 minutes to cut 150 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:
9 min → 99 pieces
1 min → 99 ÷ 9 = 11 pieces
Time taken by Machine Z alone:
11 min → 110 pieces
1 min → 110 ÷ 11 = 10 pieces
Time taken by Machine A alone:
10 min → 110 pieces
1 min → 150 ÷ 10 = 15 pieces
Time taken by Machine Y and Machine Z together:
1 min → 11 + 10 = 21 pieces
Time taken by Machine Z and Machine A together:
1 min → 10 + 15 = 25 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
= 25 - 21
= 4
Answer(s): (a) Z, A or A, Z; (b) 4