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Let the number of days taken by Mukta to complete the work be “x”. Number of days taken by Raj = (x + 8) Number of days taken by Bheem = (x + 32) 1/(x + 8) + 1/(x + 32) = 1/x 2x2 + 40x = x2 + 40x + 256 2x2 - x2 = 256 x2 = 256 or x = 16 Number of days taken by Mukta = 16 days Number of days taken by Bheem = 48 days Let the total work be 48 units. Mukta’s one-day work = 3 units Bheem’s one-day work = 1 unit Required time = 48/4 = 12 days
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