Answer:
Elsa earned the most
Ben earned the least
Step-by-step explanation:
E = Elsa's speed
B = Ben's speed
C = Cal's speed
The combined speeds are:
E + B = 1/11
E + C = 1/9
B + C = 1/9.9
If we add up all three equations:
2B + 2C + 2E = 10/33
B + C + E = 5/33
If we subtract each of the first three equations from the total equation, we can find the individual speeds.
C = 5/33 − 1/11 = 2/33
B = 5/33 − 1/9 = 4/99
E = 5/33 − 1/9.9 = 5/99
Ben and Cal paint together for 1 hour. The fraction of the wall they paint is:
(1/9.9) × 1 = 10/99
Elsa, Ben, and Cal all paint together for the next 4.5 hours. The fraction of the wall they paint is:
(5/33) × 4.5 = 15/22
Ben and Elsa then finish the job. The amount of wall left is 1 − 10/99 − 15/22 = 43/198. So the time it takes is:
(43/198) / (1/11) = 43/18 hours
The fraction of the wall that Ben paints is:
(4/99) (1 + 4.5 + 43/18) = 284/891
The fraction of the wall that Cal paints is:
(2/33) (1 + 4.5) = 1/3 = 297/891
The fraction of the wall that Elsa paints is:
(5/99) (4.5 + 43/18) = 310/891
Answer:
Ben earned the most as 6 of 16.5 as a percentage = (6*100):16.5 =36.36%
We check with Elsa and she earned the least as (5*100):16.5 =30.31%
Cal earned the average as 5.5 of 16.5 as a percentage = (5.5*100):16.5 =33.33%
Step-by-step explanation:
E + B = 11hrs
E + C = 9hrs
B+C = 9.9 hrs
Lets say the house was 100ft sq
if E took 5.5 hrs
B took 5.5hrs we would have 11
C took 3.5 hrs we would have 9hrs for E+C
B took 5.5 hrs + 3.5hrs we are 0.9hrs short and see that B would need to take 0.9 more which means E works 0.9hrs less and shares 0.4 less with C having 0.5 less which gives B an extra 0.4 instead of 0.9
This equates to B: 5.9 , C: 3.9 , E: 5.1
We can change to B: 6 , C: 3.94 , E: 5.4
= E+B = 11.4 = 11
= E+C = 8.99 = 9
= B+C = 9.94 = 9.9
Percentages of fixed net pay when B: 6 , C: 3.94 , E: 5.4 = 6+ 3.94+ 5.4 = 100
Time when 15.34 hrs = 100% if working same rate changes to 16.5hrs to account for the hours given 8am-1.30pm 8am-1.30+ 9am-1.30+ = minimum 1hr more = 2pm
Cal worked 8 am till 1.30 pm = 5.5hrs = 1.66hr extra
Ben worked 8am till 2pm = 6 hrs = 0 hr extra together worked 11.5hrs
Elsa worked 9am till 2pm = 5 hrs = -0.4hr less
11.5+ 5 = 16.5 This equals 16.5hrs = 100%
Ben earned the most as 6 of 16.5 as a percentage = (6*100):16.5 =36.36%
Cal earned the average as 5.5 of 16.5 as a percentage = (5.5*100):16.5 =33.33%
We check with Elsa and she earned the least as (5*100):16.5 =30.31% is the same as 100-69.67%
