Manish completes a work in 20 days. After 8 days Sriram joined the work. In how many days will the work be completed ? Statements : I. Sriram takes twice the time than Manish to complete the work.II. Sriram completes half the work in 15 days.
Answers
Answer:
For Statement-I= 16 days
For Statement-II=14 days
Step-by-step explanation:
Manish can complete a work in 20 days
Manish can do work in 1 day= 1/20
work done in 8 days= 8/20= 2/5
Considering Statement I: Sriram takes twice the time than manish to complete the work.
That means, Sriram can do the work in 40 days
Sriram can do the work in 1 day= 1/40
Time taken by to complete jointly by Manish and Sriram as x
Then 1/x = 1/20+1/40
1/x=3/40
X=40/3
Total time taken to complete the balance work= 40/3 of 3/5=(40/3)x(3/5)= 8
Total time taken to complete the work= 8+8 = 16 days
Considering Statement-II: Sriram complete half the work in 15 days
Then, He can do the work in 30 days
Work done in 1 day= 1/30
Let y be the time taken by them working jointly,
Then,
1/y= 1/20+1/30
1/y= (3+2)/60
Y=60/6=10
Time taken by them to complete the balance work= 10 of 3/5 =10x3/5=6 days
Total time taken to complete the work= 8 days +6 days= 14 days