Machine T takes 12 minutes to cut 216 pieces of lumbers. Machine U takes 20 minutes to cut 140 pieces of lumbers. Machine V takes 7 minutes to cut 91 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:
12 min → 216 pieces
1 min → 216 ÷ 12 = 18 pieces
Time taken by Machine U alone:
20 min → 140 pieces
1 min → 140 ÷ 20 = 7 pieces
Time taken by Machine V alone:
7 min → 140 pieces
1 min → 91 ÷ 7 = 13 pieces
Time taken by Machine T and Machine U together:
1 min → 18 + 7 = 25 pieces
Time taken by Machine U and Machine V together:
1 min → 7 + 13 = 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
= 25 - 20
= 5
Answer(s): (a) T, U or U, T; (b) 5