Machine N takes 8 minutes to cut 80 pieces of lumbers. Machine P takes 16 minutes to cut 112 pieces of lumbers. Machine Q takes 10 minutes to cut 140 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 → 80 pieces
1 min → 80 ÷ 8 = 10 pieces
Time taken by Machine P alone:
16 min → 112 pieces
1 min → 112 ÷ 16 = 7 pieces
Time taken by Machine Q alone:
10 min → 112 pieces
1 min → 140 ÷ 10 = 14 pieces
Time taken by Machine N and Machine P together:
1 min → 10 + 7 = 17 pieces
Time taken by Machine P and Machine Q together:
1 min → 7 + 14 = 21 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
= 21 - 17
= 4
Answer(s): (a) P, Q or Q, P; (b) 4