Riya and Sangeeta can finish a work in 6 days and 8 days, respectively. Riya started the work alone and then after 3 days, Sangeeta joined Riya. They both finish the remaining work. How long did the total work last?
A.4(2/7) days
B.4(3/7) days
C.4(4/7) days
D.4(5/7) days✓ Correct
Explanation
In 3 days, Riya completes 3/6 = 1/2 of the work. Remaining = 1/2. Together, Riya and Sangeeta's rate = 1/6 + 1/8 = 7/24 per day. Time for remaining = (1/2)/(7/24) = 12/7 days. Total = 3 + 12/7 = 33/7 = 4(5/7) days.
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