Time and Work Questions

Multiple choice
  1. 4.2

  2. 5.1

  3. 6.2

  4. 6.5

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

Ramu: 8 days (rate 1/8). Shyamu: 12 days (rate 1/12). Monu: 3/4 job in 12 days, so full job in 16 days (rate 1/16). Ramu works 2 days: 2/8 = 1/4 done. Remaining = 3/4. Shyamu and Monu rate = 1/12 + 1/16 = (4+3)/48 = 7/48. Time = (3/4) / (7/48) = (3/4) * (48/7) = 36/7 = 5.14.

Multiple choice
  1. $6\dfrac {1}{2} days$
  2. $7\dfrac {1}{2} days$
  3. $8\ days$
  4. $6\ days$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's rate = 1/15, B's rate = 1/10. B works for 5 days: 5 * (1/10) = 1/2 work done. Remaining work = 1/2. A finishes 1/2 work at rate 1/15: (1/2) / (1/15) = 15/2 = 7.5 days.

Multiple choice
  1. $10\ days$
  2. $10\dfrac {1}{5} days$
  3. $15\ days$
  4. $7\ days$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's rate is 1/14, B's rate is 1/21. Let total days be x. B works for x days, A works for x-3 days. (x-3)/14 + x/21 = 1. Multiply by 42: 3(x-3) + 2x = 42. 3x - 9 + 2x = 42, 5x = 51, x = 10.2 days.

Multiple choice
  1. Rs. $265$
  2. Rs. $275$
  3. Rs. $285$
  4. Rs. $295$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work rates: A = 1/7, B = 1/8. Together A+B = 15/56. In 3 days, they do 3 * 15/56 = 45/56 of the work. The boy does 1 - 45/56 = 11/56 of the work. Boy's share = (11/56) * 1400 = 11 * 25 = 275.

Multiple choice
  1. 24

  2. 18

  3. 16

  4. 12

  5. 8

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

Work = (Machines * Days) / Units. (4 * 6) / x = (M * 4) / 3x. 24/x = 4M/3x. 24 = 4M/3. M = 18.