Machine T takes 6 minutes to cut 72 pieces of lumbers. Machine U takes 15 minutes to cut 120 pieces of lumbers. Machine V takes 13 minutes to cut 182 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:
6 min → 72 pieces
1 min → 72 ÷ 6 = 12 pieces
Time taken by Machine U alone:
15 min → 120 pieces
1 min → 120 ÷ 15 = 8 pieces
Time taken by Machine V alone:
13 min → 120 pieces
1 min → 182 ÷ 13 = 14 pieces
Time taken by Machine T and Machine U together:
1 min → 12 + 8 = 20 pieces
Time taken by Machine U and Machine V together:
1 min → 8 + 14 = 22 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
= 22 - 20
= 2
Answer(s): (a) U, V or V, U; (b) 2