Multiple choice

While working 7 hours a day, Saurabh alone can complete a piece of work in 6 days and Vaishnavi alone in 8 days. In what time would they complete it together working 8 hours a days?

  1. 3 days

  2. 4 days

  3. 2.5 days

  4. 3.6 days

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Saurabh's total work time = 7 hours/day × 6 days = 42 hours. Vaishnavi's total = 7 × 8 = 56 hours. Their work rates are 1/42 and 1/56 per hour. Combined rate = 1/42 + 1/56 = 7/168 = 1/24 per hour. At 8 hours/day, they need 24/8 = 3 days.

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