Machine P takes 6 minutes to cut 60 pieces of lumbers. Machine Q takes 14 minutes to cut 84 pieces of lumbers. Machine R takes 13 minutes to cut 182 pieces of lumber.
- Which is the faster combination, P and Q or Q and R? (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 P alone:
6 min → 60 pieces
1 min → 60 ÷ 6 = 10 pieces
Time taken by Machine Q alone:
14 min → 84 pieces
1 min → 84 ÷ 14 = 6 pieces
Time taken by Machine R alone:
13 min → 84 pieces
1 min → 182 ÷ 13 = 14 pieces
Time taken by Machine P and Machine Q together:
1 min → 10 + 6 = 16 pieces
Time taken by Machine Q and Machine R together:
1 min → 6 + 14 = 20 pieces
Machine Q and R are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine Q and R) in 1 minute
= 20 - 16
= 4
Answer(s): (a) Q, R or R, Q; (b) 4