). Bala can embroider a shawl in 10 days. Her sister Renu can do the job in 15 day
They start embroidering the shawl together, but two days later Renu gives up the work
In how many days will Bala finish the remaining work of embroidering the shawl?
Answers
Answer:
Bala will take (20/3) days to finish the remaining work
Step-by-step explanation:
Bala takes 10 days to complete the work
=> In one day, Bala can complete 1/10 of the work
Renu takes 15 days to complete the work
=> In one day, Renu can complete 1/15 of the work.
Working together, in one day, Bala and Renu can complete
1/10 + 1/15 of the work.
Ratio of work completed in one day by Bala and Renu = 1/10 + 1/15
= 3/30 + 2/30
= 5/30
= 1/6
Hence, if Bala and Renu work together for one day they can complete 1/6 of the work.
Given that Bala and Renu work together for two days, they can complete 2*1/6 = 1/3 of the work.
=> When Renu leaves, 2/3 of the work is unfinished.
Working alone, Bala can complete the work in 10 days. When Renu leaves, Bala has to complete 2/3 of the work. If Bala takes 10 days to complete the full work, he will take (2/3)*10 days to finish 2/3 of the work. This amounts to 20/3 days.
No of days to finish (2/3) of work = (2/3)*10
= 20/3
= 6