Question 739738
Working together Tumelo and Jan can sand a floor in five-eighths of the time that it takes Jan to sand it by himself.
Jan takes 6 hours to sand the floor alone.
How long does it take Tumelo to sand the floor by himself?
:
let t = T's time alone
:
It says,"Tumelo and Jan can sand a floor in five-eighths of the time that it takes Jan who take 6 hrs by himself" therefore:
{{{5/8}}} * 6 = 3.75 hrs working together
:
let the completed job = 1
:
A shared work equation,
:
{{{3.75/6}}} + {{{3.75/t}}} = 1
multiply by 6t
3.75t + 3.75(6) = 6t
3.75t + 22.5 = 6t
22.5 = 6t - 3.75t
22.5 = 2.25t
t = 22.5/2.25
t = 10 hr is T's time alone
:
:
See if that checks out
{{{3.75/6}}} + {{{3.75/10}}} =
.625 + .375 = 1