Machine D takes 8 minutes to cut 88 pieces of lumbers. Machine E takes 19 minutes to cut 152 pieces of lumbers. Machine F takes 9 minutes to cut 117 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 → 88 pieces
1 min → 88 ÷ 8 = 11 pieces
Time taken by Machine E alone:
19 min → 152 pieces
1 min → 152 ÷ 19 = 8 pieces
Time taken by Machine F alone:
9 min → 152 pieces
1 min → 117 ÷ 9 = 13 pieces
Time taken by Machine D and Machine E together:
1 min → 11 + 8 = 19 pieces
Time taken by Machine E and Machine F together:
1 min → 8 + 13 = 21 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
= 21 - 19
= 2
Answer(s): (a) E, F or F, E; (b) 2