Machine T takes 7 minutes to cut 77 pieces of lumbers. Machine U takes 17 minutes to cut 119 pieces of lumbers. Machine V takes 14 minutes to cut 196 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:
7 min → 77 pieces
1 min → 77 ÷ 7 = 11 pieces
Time taken by Machine U alone:
17 min → 119 pieces
1 min → 119 ÷ 17 = 7 pieces
Time taken by Machine V alone:
14 min → 119 pieces
1 min → 196 ÷ 14 = 14 pieces
Time taken by Machine T and Machine U together:
1 min → 11 + 7 = 18 pieces
Time taken by Machine U and Machine V together:
1 min → 7 + 14 = 21 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
= 21 - 18
= 3
Answer(s): (a) U, V or V, U; (b) 3