10.014 hours will take Joe to do it alone, if Joe and Alberto can pick forty bushels of apples in 4.74 hours, had he done it alone it would have taken Alberto nine hours.
Step-by-step explanation:
The given is,
Joe and Alberto can pick forty bushels of apples in 4.74 hours.
Alberto done it alone it would have taken nine hours
Step:1
For Joe and Alberto can working together,
1 hour work of Alberto and Joe = [tex]\frac{1}{4.74}[/tex]
For Alberto do it alone,
1 hour work of Alberto = [tex]\frac{1}{9}[/tex]
Relation for time and work,
Alberto and Joe working together for 1 hr
= Alberto 1 hr work + Joe 1 hr work
Above equation becomes,
Joe 1 hr work = Alberto and Joe working together for 1 hr -
Alberto 1 hr work
From the given values above equation becomes,
Joe work 1 hr work = [tex](\frac{1}{4.74}) -(\frac{1}{9} )[/tex]
= [tex]\frac{9-4.74}{42.66}[/tex]
Joe 1 hr work = [tex]\frac{4.26}{42.66}[/tex]
Time taken for Joe work when he do it alone,
= [tex]\frac{42.66}{4.26}[/tex]
Time taken for Joe work = 10.014 hours
Result:
10.014 hours will take Joe to do it alone, if Joe and Alberto can pick forty bushels of apples in 4.74 hours, had he done it alone it would have taken Alberto nine hours.
