Machine T takes 9 minutes to cut 144 pieces of lumbers. Machine U takes 10 minutes to cut 100 pieces of lumbers. Machine V takes 11 minutes to cut 154 pieces of lumber.
- Which is the faster combination, T and U or U and V? (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 T alone:
9 min → 144 pieces
1 min → 144 ÷ 9 = 16 pieces
Time taken by Machine U alone:
10 min → 100 pieces
1 min → 100 ÷ 10 = 10 pieces
Time taken by Machine V alone:
11 min → 100 pieces
1 min → 154 ÷ 11 = 14 pieces
Time taken by Machine T and Machine U together:
1 min → 16 + 10 = 26 pieces
Time taken by Machine U and Machine V 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
= 26 - 24
= 2
Answer(s): (a) T, U or U, T; (b) 2