Question

Starting on February 25, 1996, if Raja had finished his job on April 2, 1996, when would T and S together likely to have completed the job, had they started on the same day as Raja?

• A. March 15, 1996
• B. March 14, 1996
• C. March 22, 1996
• D. Data insufficient

Hint:

When multiple workers with different off-days work together, sum their daily work rates to get the total rate.

Answer 1

The Correct Option is B

From Feb 25 to Apr 2, Raja takes 38 days. Raja works all days (no holiday with R), so he works 38 workdays. T (Tuesday holiday) and S (Saturday holiday) together: Within 7 days: - Tuesdays = 1 day off for T. - Saturdays = 1 day off for S. Each loses 1 day in a week → working 6 days per week. Working together, their effective daily work rate is $\frac{1}{38} + \frac{1}{38} = \frac{2}{38}$ jobs/day. Thus time = $\frac{1}{\frac{2}{38}} = 19$ days. Adding 19 days from Feb 25, 1996 → Mar 14, 1996.