Question

Rajesh can complete some work in 42 days while shillpa the same work in 7 days they started together and when the work half complete shilpa fell ill and Rajesh had to finish the remaining work how long did it take to complete

Answer 1

Answer: Rajesh need 24 days to complete the work.

Step-by-step explanation:

Since we have given that

Total number of days in which Rajesh can complete the work = 42 days

Total number of days in which Shilpa can complete the work = 7 days

L.C.M. of 42 and 7 = 42 = Total units of work done

Work done by Rajesh is given by

$\frac{42}{42}=1\ unit$

Work done by Shilpa is given by

$\frac{42}{7}=6\ units$

When half of the work complete Shilpa fell illl and Rajesh had to finish the remaining work:

Amount of half work done by them is given by

$\frac{42}{2}=21$

Half work done by both of them:

Number of days they will take to complete the half work is given by

$\frac{21}{1+6}=\frac{21}{7}=3\ days$

Remaining work done by  Rajesh

Number of days Rajesh needed to complete the remaining work is given by

$\frac{21}{1}=21\ days$

Total number of days Rajesh would take to complete is given by

$21+3=24\ days$

Hence, Rajesh need 24 days to complete the work.