-Under the Quadratic equation (ROOTS)
Anjo works 5 mins faster than Aira in cleaning the room. If they work together , they can finish the job in 6mins .How long can each of them clean the room working alone?

Question

anonymous · Answer

i already replied you earlier

anonymous · Answer

let:
5x ---> aira's time
x -----> anjo's time

1/(5x)  + 1/x = 1/6   ----> multiply both sides by 30x^2 to make it simple

6x + 30x = 5x^2

36x = 5x^2 --> divide both sides by x.

36 = 5x  ---> divide both sides by 5.

x = 7.2 or 7 mins and and 12 secs  ---> anjo's speed
5x = 36min -------------------------------> aira's speed.