Machine T takes 6 minutes to cut 90 pieces of lumbers. Machine U takes 15 minutes to cut 105 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:
6 min → 90 pieces
1 min → 90 ÷ 6 = 15 pieces
Time taken by Machine U alone:
15 min → 105 pieces
1 min → 105 ÷ 15 = 7 pieces
Time taken by Machine V alone:
7 min → 105 pieces
1 min → 84 ÷ 7 = 12 pieces
Time taken by Machine T and Machine U together:
1 min → 15 + 7 = 22 pieces
Time taken by Machine U and Machine V together:
1 min → 7 + 12 = 19 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
= 22 - 19
= 3
Answer(s): (a) T, U or U, T; (b) 3