Machine S takes 10 minutes to cut 200 pieces of lumbers. Machine T takes 13 minutes to cut 117 pieces of lumbers. Machine U takes 8 minutes to cut 88 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 → 200 pieces
1 min → 200 ÷ 10 = 20 pieces
Time taken by Machine T alone:
13 min → 117 pieces
1 min → 117 ÷ 13 = 9 pieces
Time taken by Machine U alone:
8 min → 117 pieces
1 min → 88 ÷ 8 = 11 pieces
Time taken by Machine S and Machine T together:
1 min → 20 + 9 = 29 pieces
Time taken by Machine T and Machine U together:
1 min → 9 + 11 = 20 pieces
Machine S and T are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine S and T) in 1 minute
= 29 - 20
= 9
Answer(s): (a) S, T or T, S; (b) 9