Machine S takes 9 minutes to cut 117 pieces of lumbers. Machine T takes 16 minutes to cut 112 pieces of lumbers. Machine U takes 14 minutes to cut 210 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:
9 min → 117 pieces
1 min → 117 ÷ 9 = 13 pieces
Time taken by Machine T alone:
16 min → 112 pieces
1 min → 112 ÷ 16 = 7 pieces
Time taken by Machine U alone:
14 min → 112 pieces
1 min → 210 ÷ 14 = 15 pieces
Time taken by Machine S and Machine T together:
1 min → 13 + 7 = 20 pieces
Time taken by Machine T and Machine U together:
1 min → 7 + 15 = 22 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
= 22 - 20
= 2
Answer(s): (a) T, U or U, T; (b) 2