Santosh can do a 7/10 of work in 15 days. With the help of her daughter,Poonam,she completes the remaining work in 4 days. In what time can Santosh and Poonam together do the work.
Answers
Santosh can do 7/10 of the work in 15 days
Find the amount of work he can in a day:
15 days = 7/10 of the work
1 day = 7/10 ÷ 15 = 7/150
Find the remaining work to be done in 4 days:
Remaining work = 1 - 7/10 = 3/10
Find the amount of work Santosh did in the 4 days:
1 day = 7/150 of the work
4 days = 7/150 x 4 = 14/75 of the work
Find the amount of work Poonam can do in a day:
4 days = 3/10 - 14/75 = 17/150
1 day = 17/150 ÷ 4 = 17/600
Find the amount of work both of them can do in a day:
1 day = 7/150 + 17/600 = 3/40
Find the number of days needed if both of them worked together:
3/40 of the work = 1 day
1/40 of the work = 1 ÷ 3 = 1/3 day
40/40 of the work = 1/3 x 40 = 13 1/3 day = 14 days
Answer; They will finish the work in 14 complete days
Answer:
Hope you are satisfied
