Machine T takes 8 minutes to cut 112 pieces of lumbers. Machine U takes 12 minutes to cut 72 pieces of lumbers. Machine V takes 7 minutes to cut 84 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 → 112 pieces
1 min → 112 ÷ 8 = 14 pieces
Time taken by Machine U alone:
12 min → 72 pieces
1 min → 72 ÷ 12 = 6 pieces
Time taken by Machine V alone:
7 min → 72 pieces
1 min → 84 ÷ 7 = 12 pieces
Time taken by Machine T and Machine U together:
1 min → 14 + 6 = 20 pieces
Time taken by Machine U and Machine V together:
1 min → 6 + 12 = 18 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
= 20 - 18
= 2
Answer(s): (a) T, U or U, T; (b) 2