Machine N takes 8 minutes to cut 88 pieces of lumbers. Machine P takes 18 minutes to cut 216 pieces of lumbers. Machine Q takes 14 minutes to cut 210 pieces of lumber.
- Which is the faster combination, N and P or P and Q? (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 N alone:
8 min → 88 pieces
1 min → 88 ÷ 8 = 11 pieces
Time taken by Machine P alone:
18 min → 216 pieces
1 min → 216 ÷ 18 = 12 pieces
Time taken by Machine Q alone:
14 min → 216 pieces
1 min → 210 ÷ 14 = 15 pieces
Time taken by Machine N and Machine P together:
1 min → 11 + 12 = 23 pieces
Time taken by Machine P and Machine Q together:
1 min → 12 + 15 = 27 pieces
Machine P and Q are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine P and Q) in 1 minute
= 27 - 23
= 4
Answer(s): (a) P, Q or Q, P; (b) 4