Machine W takes 7 minutes to cut 70 pieces of lumbers. Machine X takes 18 minutes to cut 216 pieces of lumbers. Machine Y takes 13 minutes to cut 169 pieces of lumber.
- Which is the faster combination, W and X or X and Y? (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 W alone:
7 min → 70 pieces
1 min → 70 ÷ 7 = 10 pieces
Time taken by Machine X alone:
18 min → 216 pieces
1 min → 216 ÷ 18 = 12 pieces
Time taken by Machine Y alone:
13 min → 216 pieces
1 min → 169 ÷ 13 = 13 pieces
Time taken by Machine W and Machine X together:
1 min → 10 + 12 = 22 pieces
Time taken by Machine X and Machine Y together:
1 min → 12 + 13 = 25 pieces
Machine X and Y are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine X and Y) in 1 minute
= 25 - 22
= 3
Answer(s): (a) X, Y or Y, X; (b) 3