Machine T takes 9 minutes to cut 171 pieces of lumbers. Machine U takes 13 minutes to cut 104 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:
9 min → 171 pieces
1 min → 171 ÷ 9 = 19 pieces
Time taken by Machine U alone:
13 min → 104 pieces
1 min → 104 ÷ 13 = 8 pieces
Time taken by Machine V alone:
7 min → 104 pieces
1 min → 84 ÷ 7 = 12 pieces
Time taken by Machine T and Machine U together:
1 min → 19 + 8 = 27 pieces
Time taken by Machine U and Machine V together:
1 min → 8 + 12 = 20 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
= 27 - 20
= 7
Answer(s): (a) T, U or U, T; (b) 7