Question

The daughter of a painter paints her room in 4 hours more than her mother. If the two did it together it would take 5 hours. How long will each take separately?

Answer 1

Answer:

let mother finish the work in x hour

so daughter will finish it in x+4 hour

if they work together, finish the work in 5hour

so work finished by mother per hour=1/x

and by the daughter per hour= 1/(x+4)

and task performed by simultaneously per hour=1/5

so 1/x+1/(x+4) =1/5

after solving it we get x=8.38hr

and x+4=12.38hr

so mother will finish it in 8.34hr

and daughter will finish it in 12.34 hr