Machine Z takes 5 minutes to cut 65 pieces of lumbers. Machine A takes 14 minutes to cut 126 pieces of lumbers. Machine B takes 10 minutes to cut 150 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:
5 min → 65 pieces
1 min → 65 ÷ 5 = 13 pieces
Time taken by Machine A alone:
14 min → 126 pieces
1 min → 126 ÷ 14 = 9 pieces
Time taken by Machine B alone:
10 min → 126 pieces
1 min → 150 ÷ 10 = 15 pieces
Time taken by Machine Z and Machine A together:
1 min → 13 + 9 = 22 pieces
Time taken by Machine A and Machine B together:
1 min → 9 + 15 = 24 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
= 24 - 22
= 2
Answer(s): (a) A, B or B, A; (b) 2