Machine Z takes 10 minutes to cut 200 pieces of lumbers. Machine A takes 11 minutes to cut 66 pieces of lumbers. Machine B takes 7 minutes to cut 91 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 → 200 pieces
1 min → 200 ÷ 10 = 20 pieces
Time taken by Machine A alone:
11 min → 66 pieces
1 min → 66 ÷ 11 = 6 pieces
Time taken by Machine B alone:
7 min → 66 pieces
1 min → 91 ÷ 7 = 13 pieces
Time taken by Machine Z and Machine A together:
1 min → 20 + 6 = 26 pieces
Time taken by Machine A and Machine B together:
1 min → 6 + 13 = 19 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
= 26 - 19
= 7
Answer(s): (a) Z, A or A, Z; (b) 7