Machine Z takes 9 minutes to cut 99 pieces of lumbers. Machine A takes 20 minutes to cut 220 pieces of lumbers. Machine B takes 13 minutes to cut 182 pieces of lumber.
- Which is the faster combination, Z and A or A and B? (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 Z alone:
9 min → 99 pieces
1 min → 99 ÷ 9 = 11 pieces
Time taken by Machine A alone:
20 min → 220 pieces
1 min → 220 ÷ 20 = 11 pieces
Time taken by Machine B alone:
13 min → 220 pieces
1 min → 182 ÷ 13 = 14 pieces
Time taken by Machine Z and Machine A together:
1 min → 11 + 11 = 22 pieces
Time taken by Machine A and Machine B together:
1 min → 11 + 14 = 25 pieces
Machine A and B are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine A and B) in 1 minute
= 25 - 22
= 3
Answer(s): (a) A, B or B, A; (b) 3
