Machine T takes 6 minutes to cut 60 pieces of lumbers. Machine U takes 14 minutes to cut 98 pieces of lumbers. Machine V takes 9 minutes to cut 108 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 → 60 pieces
1 min → 60 ÷ 6 = 10 pieces
Time taken by Machine U alone:
14 min → 98 pieces
1 min → 98 ÷ 14 = 7 pieces
Time taken by Machine V alone:
9 min → 98 pieces
1 min → 108 ÷ 9 = 12 pieces
Time taken by Machine T and Machine U together:
1 min → 10 + 7 = 17 pieces
Time taken by Machine U and Machine V together:
1 min → 7 + 12 = 19 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
= 19 - 17
= 2
Answer(s): (a) U, V or V, U; (b) 2