SOLUTION: sol can paint a house in 9 hours while ding can paint the same house in 16 hours. after 4 hours of working together, ding left and sol finish the job alone. How many hours did it t

Question 1008001: sol can paint a house in 9 hours while ding can paint the same house in 16 hours. after 4 hours of working together, ding left and sol finish the job alone. How many hours did it take sol to finish the job?
Found 2 solutions by josgarithmetic, dkppathak:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Sol's rate,
Dink's rate, .
Time for Sol to work alone to finish, .

The rates are for JOBS per HOUR; the numerator shown in the individual rates is because
the time being connected to ONE job.

4 hours working together, amount of job was .

t hours Sol working to finish, alone, job was .

1 job is how much of JOBS to do.

Solve for t.

Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
sol can paint a house in 9 hours while ding can paint the same house in 16 hours. after 4 hours of working together, ding left and sol finish the job alone. How many hours did it take sol to finish the job?
sol can pain a house in 9 hrs
ding can paint a house in 16 hrs
sol 1 hrs painting =1/9 parts
ding 1 hrs painting =1/16 parts
ding and sol 1 hrs together =1/9+1/16=25/144 parts
working together for 4 hrs =4x25/144=25/36 parts
reaming part=1-25/36=11/36 parts
sol will finish work=11x9/36=11/4 days
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