Machine S takes 10 minutes to cut 100 pieces of lumbers. Machine T takes 17 minutes to cut 170 pieces of lumbers. Machine U takes 8 minutes to cut 104 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:
10 min → 100 pieces
1 min → 100 ÷ 10 = 10 pieces
Time taken by Machine T alone:
17 min → 170 pieces
1 min → 170 ÷ 17 = 10 pieces
Time taken by Machine U alone:
8 min → 170 pieces
1 min → 104 ÷ 8 = 13 pieces
Time taken by Machine S and Machine T together:
1 min → 10 + 10 = 20 pieces
Time taken by Machine T and Machine U together:
1 min → 10 + 13 = 23 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
= 23 - 20
= 3
Answer(s): (a) T, U or U, T; (b) 3