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Manoj can complete a work in 15 days working 8 hours in a day and Santosh can complete it in 10 days working 9 hours in a day. If Manoj and Santosh together start working for 6 hours per day, in how many days will they complete the work?
12
$$8\frac{4}{7}$$
$$10\frac{4}{7}$$
7
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