Question

Sunil takes 5 days more than Anil to complete a certain work .4 days after starting the work Anil left the work . The remaining work done by Sunil in 5 days. Find how many days each will take to complete the work.

Answer 1

Answer:

Anil will take 10 days and Sunil will take 15 days to complete the work

Step-by-step explanation:

let anil take x days to complete work

sunil will take x+5 days

there work in one day will be

1/x+1/x+5=2x+5/x(x+5)

work of four days will be

4(2x+5)/x(x+5)

now sunil will take another five days to complete remaining work

work of sunil in 5 days will be = 5/x+5

According to the condition

4(2x+5)/x(x+5) + 5/x+5 = 1

8x+20 + 5x = x^2 + 5x

x^2 -8x - 20 =0

after solving by factorization method

x= 10 or x= -2 are roots

days are not negative so x=10

therefore sunil will take x +5 =10+5=15

anil will take place 10 days and sunil will take 15 days

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