Question

sonal, sama deepa can embroider a saree in 24 days, 30 days and 20 days. After working together for 5 days both Deepa and sama leave and the remaining work is completed by sonal. How many days will sonal take to finish the work?

Answer 1

Sonal 1 saree in 24 days
Sonal in 1 day: 1/24 part of a saree

Sama 1 saree in 30 days
Sama in 1 day: 1/30 part of a saree

Deepa 1 saree in 20 days
Deepa in 1 day: 1/20 part of a saree
In 1 day all the three together do:
1/24 + 1/30 + 1/20 = 5+4+6/120 = 15/120 part of a saree(work)
In 5 days, they did: 5*15/120 = 75/120 = 15/24 part of saree(work)
Work remaining = 1 -15/24 = 9/24 work
Now Sonal alone has to work:

Sonal in 1 day does: 1/24 part
1 day=== 1/24 part
X days==9/24 part
X = 9 days.
Hence Sonal will complete the work in another 9 days.
Hope it helps