Machine T takes 5 minutes to cut 55 pieces of lumbers. Machine U takes 13 minutes to cut 156 pieces of lumbers. Machine V takes 11 minutes to cut 165 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:
5 min → 55 pieces
1 min → 55 ÷ 5 = 11 pieces
Time taken by Machine U alone:
13 min → 156 pieces
1 min → 156 ÷ 13 = 12 pieces
Time taken by Machine V alone:
11 min → 156 pieces
1 min → 165 ÷ 11 = 15 pieces
Time taken by Machine T and Machine U together:
1 min → 11 + 12 = 23 pieces
Time taken by Machine U and Machine V together:
1 min → 12 + 15 = 27 pieces
Machine U and V are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine U and V) in 1 minute
= 27 - 23
= 4
Answer(s): (a) U, V or V, U; (b) 4