Sonal, Sama and Deepa can embroider a sari in 24 days, 30 days and 20 days respectively 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? (Hint: First find the fraction embroidered by each in a day)
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Answer:
Sonal will take 9days to finish the work.
Step-by-step explanation:
Total work = 1
Sonal can do in one day = 1/24
Sama = 1/30
Deepa = 1/20
In 5days work done,
5 × ( 1/24+ 1/30+ 1/20)
= 5 × (5+ 4+6/120)
= 5 × 15/120
= 5/8
Work Left to be done = 1 -5/8 = 8-5/8 = 3/8
Sonal will take = 3/8 ÷ 1/24 days
= 3/8 × 24
= 3×3
= 9 days.
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