Machine Z takes 10 minutes to cut 130 pieces of lumbers. Machine A takes 14 minutes to cut 98 pieces of lumbers. Machine B takes 11 minutes to cut 165 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:
10 min → 130 pieces
1 min → 130 ÷ 10 = 13 pieces
Time taken by Machine A alone:
14 min → 98 pieces
1 min → 98 ÷ 14 = 7 pieces
Time taken by Machine B alone:
11 min → 98 pieces
1 min → 165 ÷ 11 = 15 pieces
Time taken by Machine Z and Machine A together:
1 min → 13 + 7 = 20 pieces
Time taken by Machine A and Machine B together:
1 min → 7 + 15 = 22 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
= 22 - 20
= 2
Answer(s): (a) A, B or B, A; (b) 2