Machine S takes 5 minutes to cut 60 pieces of lumbers. Machine T takes 19 minutes to cut 190 pieces of lumbers. Machine U takes 9 minutes to cut 126 pieces of lumber.
- Which is the faster combination, S and T or T and U? (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 S alone:
5 min → 60 pieces
1 min → 60 ÷ 5 = 12 pieces
Time taken by Machine T alone:
19 min → 190 pieces
1 min → 190 ÷ 19 = 10 pieces
Time taken by Machine U alone:
9 min → 190 pieces
1 min → 126 ÷ 9 = 14 pieces
Time taken by Machine S and Machine T together:
1 min → 12 + 10 = 22 pieces
Time taken by Machine T and Machine U together:
1 min → 10 + 14 = 24 pieces
Machine T and U are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine T and U) in 1 minute
= 24 - 22
= 2
Answer(s): (a) T, U or U, T; (b) 2