Machine T takes 8 minutes to cut 80 pieces of lumbers. Machine U takes 18 minutes to cut 144 pieces of lumbers. Machine V takes 12 minutes to cut 168 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:
8 min → 80 pieces
1 min → 80 ÷ 8 = 10 pieces
Time taken by Machine U alone:
18 min → 144 pieces
1 min → 144 ÷ 18 = 8 pieces
Time taken by Machine V alone:
12 min → 144 pieces
1 min → 168 ÷ 12 = 14 pieces
Time taken by Machine T and Machine U together:
1 min → 10 + 8 = 18 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 - 18
= 4
Answer(s): (a) U, V or V, U; (b) 4