gautam can complete some work in 10 days, while sania can complete the same work in 15 days. they started the work together, and when the work was half complete, sania fell ill and gautam had to finish the remaining work. how long did it take to complete the work
Answers
Step-by-step explanation:
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.
Step-by-step explanation:
Refer to the attachment.
