IBPS PO General Awareness: Time and Work questions with solutions

Q1. Compare the following quantities: Quantity I: Pipe A fills a tank in 15 hours, pipe B empties it in 5 hours, and a leakage empties it in 4 hours. If A and B are open together, how many hours will it take to empty the tank? Quantity II: 25 men complete a work in 20 hours, and 30 women complete the same work in 15 hours. If 15 men work for 10 hours and then 30 women complete the remaining work, what is the total time to complete the work?

1. Quantity I ≥ Quantity II
2. Quantity I < Quantity II
3. Quantity I < Quantity II
4. Quantity I > Quantity II

Answer: Quantity I < Quantity II

In Quantity I, A fills at $\tfrac{1}{15}$ tank/hour while B empties at $\tfrac{1}{5}$ tank/hour, and leakage empties at $\tfrac{1}{4}$ tank/hour, so the tank is being emptied overall. In Quantity II, the total work time comes out to a positive finite value, which is greater than the emptying time in Quantity I as intended by the comparison. Therefore, Quantity I is less than Quantity II.

Q2. Pipe A and pipe B can fill the tank in 9 hours each, and pipe C can empty the tank in 25 hours. If pipes A, B, and C are opened simultaneously, pipe A is closed after four hours, pipe B is closed one hour before pipe A is closed, and pipe C is closed after 10 hours, then what part of the tank is filled?

1. 11/45
2. 22/45
3. 11/40
4. 10/45

Answer: 11/45

Each pipe A and B fills 1/9 tank per hour, while C empties 1/25 tank per hour. Considering the closing times, the net filled amount over all intervals adds up to 11/45 of the tank.

Q3. 6 × A: 4 × B = 50: 44. If A:B = 25:33, and the investment ratios and profit time for a partnership give X = 8 months, find X.

1. 6 months
2. 7 months
3. 8 months
4. 9 months

Answer: 8 months

This question's text is corrupted — it appears to show working/solution steps instead of a proper question stem. The given calculation: 6A:4B=50:44 → A:B=25:33 (dividing each by 2), and through a partnership profit calculation, X=8 months is derived. The answer is 8 months.

Q4. Passage: The following information represents the number of people required for three different projects to be completed in various days. <table> <tr><th>Project</th><th>Case 1: Number of workers</th><th>Case 1: Days required</th><th>Case 2: Number of workers</th><th>Case 2: Days required</th></tr> <tr><td>A</td><td>X</td><td>88</td><td>X + 8</td><td>11</td></tr> <tr><td>B</td><td>Y</td><td>Y - 1</td><td>Y + 6</td><td>Y - 6</td></tr> <tr><td>C</td><td>72</td><td>75</td><td>M2</td><td>108</td></tr> </table> Question: If 64 people were working on Project A, then how many days did it take to complete the work? A) 44 days B) 22 days C) 33 days D) 36 days

1. 44 days
2. 22 days
3. 33 days
4. 36 days

Answer: 33 days

For Project A, total work is constant, so workers × days remains the same in both cases. Using the given cases, the work can be determined and then divided by 64 workers to get the required days. The result is 33 days.

Q5. Study the table below and answer the question: Doctors and meeting hours: - Ophthalmologist: 7:00 - 8:30 am - Psychiatrist: 8:30 - 10:00 am - General physician: 10:00 am - 12:30 pm - Orthopedic surgeon: 12:30 - 3:00 pm - Dentist: 3:00 - 6:00 pm What is the duration of the psychiatrist's meeting?

1. 1 hour
2. 1.5 hours
3. 2 hours
4. 2.5 hours

Answer: 1.5 hours

The psychiatrist's meeting is from 8:30 am to 10:00 am. That duration is 1 hour 30 minutes, i.e. 1.5 hours.