anjo works 5 mins. faster than aira in cleaning the room. if they work together, they can finish the job in 6 mins. How long can each of them clean the room working alone?

Question

anjo works 5 mins. faster than aira in cleaning the room. if they work together, they can finish the job in 6 mins.  How long can each of them clean the room working alone?

saifoo.khan · Answer

$$\Large \frac{1}{x}+\frac{1}{x+5}=\frac16$$Solve for x.

anonymous · Answer

then ?

saifoo.khan · Answer

then, take the LCM and solve.

anonymous · Answer

whats the next steps ? please ???

anonymous · Answer

pls

anonymous · Answer

let anjo can finish in x min 
so aira can finish in x+5 min

 in 1 min anjo can do 1/x part of work 

in 1 min aira can do 1/(x+5) part of work

togather in 1 min they can do 1/x + 1/(x+5) part of work 

they finished togather in 6 min 

so 6[1/x + 1/(x+5)] = 1 

(6/x)+(6/(x+5))=1 

6(x+5)+6(x)=(x)(x+5)

6x+30+6x=x^2+5x

x^2-7x-30=0 

(x-10)(x+3)=0 

x=-3 and x=10

 time cannot be negative 

so x=10

x+5= 10+5=15