Machine Q takes 6 minutes to cut 114 pieces of lumbers. Machine R takes 10 minutes to cut 80 pieces of lumbers. Machine S takes 11 minutes to cut 110 pieces of lumber.
- Which is the faster combination, Q and R or R and S? (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 Q alone:
6 min → 114 pieces
1 min → 114 ÷ 6 = 19 pieces
Time taken by Machine R alone:
10 min → 80 pieces
1 min → 80 ÷ 10 = 8 pieces
Time taken by Machine S alone:
11 min → 80 pieces
1 min → 110 ÷ 11 = 10 pieces
Time taken by Machine Q and Machine R together:
1 min → 19 + 8 = 27 pieces
Time taken by Machine R and Machine S together:
1 min → 8 + 10 = 18 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
= 27 - 18
= 9
Answer(s): (a) Q, R or R, Q; (b) 9