Multiple choice

A and B, working 8 hours a day, can do a piece of work in 20 days and 30 days, respectively. On weekends, they work for only 1 hour and on weekdays, they work for 4 hours. If they start working together on Sunday, then on which day will they finish the task? (Assume that weekend includes Saturday and Sunday)

  1. Sunday

  2. Monday

  3. Tuesday

  4. Wednesday

  5. Thursday

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A works 4h/day weekdays, 1h/day weekends. Total work 8h/day for 20 days = 160h. A's rate = 1/160 per hour. B's rate = 1/240 per hour. Combined rate = 1/160 + 1/240 = 5/480 = 1/96 per hour. They work 4h/day weekdays and 1h/day weekends. Weekly work = 5*4 + 2*1 = 22 hours. Total work needed = 96 hours. 4 weeks = 88 hours. Remaining 8 hours finished on Tuesday.