Machine E takes 10 minutes to cut 150 pieces of lumbers. Machine F takes 19 minutes to cut 133 pieces of lumbers. Machine G takes 11 minutes to cut 143 pieces of lumber.
- Which is the faster combination, E and F or F and G? (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 E alone:
10 min → 150 pieces
1 min → 150 ÷ 10 = 15 pieces
Time taken by Machine F alone:
19 min → 133 pieces
1 min → 133 ÷ 19 = 7 pieces
Time taken by Machine G alone:
11 min → 133 pieces
1 min → 143 ÷ 11 = 13 pieces
Time taken by Machine E and Machine F together:
1 min → 15 + 7 = 22 pieces
Time taken by Machine F and Machine G together:
1 min → 7 + 13 = 20 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
= 22 - 20
= 2
Answer(s): (a) E, F or F, E; (b) 2