Surojit Ghosh left his IT job last year and started a food business with his wife Debjani. They named the business "Bong's Kitchen". Surojit takes hours more when he works alone compared to when he works jointly with his wife. On the other hand, Debjani takes 2812 hours more than what she takes when she works with Surojit. How long approximately will it take, Surojit to complete the business work alone ?
Explanation:
Let the number of hours needed by Surojit working alone be S hours and the number of hours required by Debjani when she works alone be D. The time required to finish the work when they work together = S∙DS+D Hence, we can frame the given 2 conditions as:
S - S∙DS+D = 215 ...(1)
D - S∙DS+D = 1415 ..(2)
Solving the two equations simultaneously, we get S = 15 hours approx
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