SOLUTION: A father and his son clean the house together in 6 hours. When son works alone, it take him an hour longer to clean than his dad alone. Find out how long it takes the son to clean

Question 971683: A father and his son clean the house together in 6 hours. When son works alone, it take him an hour longer to clean than his dad alone. Find out how long it takes the son to clean alone.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of cleaning to get their
rate cleaning together
Let = dad's time in hrs to clean house
working alone
= son's time in hrs to clean house
working alone
---------------------
In words:
[ 1 house cleaned ] / [ t hrs ] + [ 1 house cleaned ] / [ t + 1 hrs ] =
[ 1 house cleaned ] / [ 6 hrs ]
-----------------------------------

Multip[ly both sides by

Use quadratic formula

and

Working alone, the son takes about 12 hrs 31 min
check:

close enough

RELATED QUESTIONS
a father and his son can clean the house together in 6 hours. When the son works alone,... (answered by stanbon)

Can someone please help me to solve this problem. A father and his son can clean the... (answered by stanbon,mathstutor494)

A father and his son can clean the house together in 8 hours. When the son works alone,... (answered by josgarithmetic,ikleyn)

Tom and Jane can clean the house together in 4 hours. When Tom works alone, it takes him... (answered by josgarithmetic)

When working alone, it takes Roy 6 hours longer to clean their entire house than it does... (answered by richwmiller)

If your friend take 5 hours longer to clean a house and together it takes 6 hours. How... (answered by ankor@dixie-net.com)

Karen and John take 3 hours to clean the house. Karen alone can clean the house 1 hour... (answered by stanbon)

Working together, Sarah and Heidi can clean the garage in 6 hours. If they work alone, it (answered by richwmiller)

Working together, Sarah and Heidi can clean the garage in 6 hours. If they work alone, it (answered by josmiceli)