Question

shyam takes 9 days more than Ram to complete a work .Together they can do the work in 6 days.How many days will shyam take to do that work alone​

Answer 1

Step-by-step explanation:

let the work done by ram be 'x'

let the work done by shyam be 'y'

according to the question

time taken by shyam = time taken by ram + 9 days

y= x+ 9 ............1

wok done by ram + work done by shyam = 6 days

.............2

now,

wok done by them in one day

:- 1/ x + 1/y = 1/6

we know that

y= x+9 ( from ......1)

so ,

1/ x + 1/ x+9 =1/6

here after taking lcm

x+ x+9 / x^2+9x= 1/6

6(2x+ 9) = x^2+9x

12x + 54 = x^2+9x

equation :-

x^2 - 3x - 54 = 0

solving it by factorisation

x^2 - 9x+6x-54 =0

x( x-9) +6( x-9) =0

( x+6)(x-9)= 0

taking :

x+6=0 x-9=0

x = -6 x =9 days

mot possible

y= x+9

y=18days