Machine Y takes 7 minutes to cut 119 pieces of lumbers. Machine Z takes 16 minutes to cut 128 pieces of lumbers. Machine A takes 8 minutes to cut 88 pieces of lumber.
- Which is the faster combination, Y and Z or Z and A? (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 Y alone:
7 min → 119 pieces
1 min → 119 ÷ 7 = 17 pieces
Time taken by Machine Z alone:
16 min → 128 pieces
1 min → 128 ÷ 16 = 8 pieces
Time taken by Machine A alone:
8 min → 128 pieces
1 min → 88 ÷ 8 = 11 pieces
Time taken by Machine Y and Machine Z together:
1 min → 17 + 8 = 25 pieces
Time taken by Machine Z and Machine A together:
1 min → 8 + 11 = 19 pieces
Machine Y and Z are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine Y and Z) in 1 minute
= 25 - 19
= 6
Answer(s): (a) Y, Z or Z, Y; (b) 6