Machine D takes 8 minutes to cut 96 pieces of lumbers. Machine E takes 16 minutes to cut 176 pieces of lumbers. Machine F takes 13 minutes to cut 195 pieces of lumber.
- Which is the faster combination, D and E or E and F? (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 D alone:
8 min → 96 pieces
1 min → 96 ÷ 8 = 12 pieces
Time taken by Machine E alone:
16 min → 176 pieces
1 min → 176 ÷ 16 = 11 pieces
Time taken by Machine F alone:
13 min → 176 pieces
1 min → 195 ÷ 13 = 15 pieces
Time taken by Machine D and Machine E together:
1 min → 12 + 11 = 23 pieces
Time taken by Machine E and Machine F together:
1 min → 11 + 15 = 26 pieces
Machine E and F are the faster combination.
(b)
Number of more pieces of lumbers that can be cut by the faster combination (Machine E and F) in 1 minute
= 26 - 23
= 3
Answer(s): (a) E, F or F, E; (b) 3