Question:
Amit can do a work in 12 days and Sagar in 15 days. If they work on it together for 4 days, then the fraction of the work that is left is:
Amit can do a work in 12 days and Sagar in 15 days. If they work on it together for 4 days, then the fraction of the work that is left is:
Show Hint
Find the combined daily fraction of work, multiply by 4 days, then subtract from 1.
Updated On: Jul 15, 2026
- 3/20
- 3/5
- 2/5
- 2/20
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Set the total work.
Let total work \(=\text{LCM}(12,15)=60\) units.
Step 2: Find daily rates.
Amit's rate \(=\dfrac{60}{12}=5\) units/day. Sagar's rate \(=\dfrac{60}{15}=4\) units/day.
Step 3: Find work done in 4 days.
Combined rate \(=5+4=9\) units/day. Work done in 4 days \(=9\times4=36\) units.
Step 4: Find the work left.
Work left \(=60-36=24\) units. Fraction left \(=\dfrac{24}{60}=\dfrac{2}{5}\).
Step 5: Final Answer.
The fraction of work left is 2/5, so option C is correct.
Let total work \(=\text{LCM}(12,15)=60\) units.
Step 2: Find daily rates.
Amit's rate \(=\dfrac{60}{12}=5\) units/day. Sagar's rate \(=\dfrac{60}{15}=4\) units/day.
Step 3: Find work done in 4 days.
Combined rate \(=5+4=9\) units/day. Work done in 4 days \(=9\times4=36\) units.
Step 4: Find the work left.
Work left \(=60-36=24\) units. Fraction left \(=\dfrac{24}{60}=\dfrac{2}{5}\).
Step 5: Final Answer.
The fraction of work left is 2/5, so option C is correct.
Was this answer helpful?
0
0
Top SNAP Quantitative Aptitude Questions
- Rahul starts a business with ₹ 8000. After $6$ months, Sanjay joins with some capital. If their profits after one year are equal, find Sanjay's investment.
- A watch is bought for ₹ 1950 in cash and sold for ₹ 2200 on one-year credit. If the interest rate is $10\%$ p.a., find the trader's gain/loss.
- An article is listed at ₹ 65. A customer bought this article for ₹ 56.16 and got two successive discounts, the first being $10\%$. What was the other discount rate allowed by the shopkeeper?
A company has $50{,}000$ preferred shares with dividend $20\%$ and $20{,}000$ common shares; par value of each share is ₹ 10. The total profit is $₹ 1{,}80{,}000$, of which $₹ 30{,}000$ is kept in reserve and the rest distributed to shareholders. Find the dividend percent paid to common shareholders.
A man buys apples at a certain price per dozen and sells them at eight times that price per hundred. What is his gain or loss percent?
View More Questions
Top SNAP Time and Work Questions
A contractor undertakes to build a wall in 50 days. He employs 50 people for the same. However, after 25 days he finds that only 40% of the work is complete. How many more men need to be employed to complete the work in time?
- A leak was found in a ship when it was 77 km from the shore. The leak admits 2.25 tonnes of water in 5.5 minutes. 92 tonnes will suffice to sink the ship. The pumps can throw out water at 12 tonnes per hour. Find the average rate of sailing at which the ship may reach the shore as it begins to sink.
- Ritesh is twice as good as Mitesh. Ritesh takes 30 days less than Mitesh to finish a task. How long will they take to complete the task together?
- Valve A fills a bathtub in 10 hours and valve B fills it in 15 hours. A and B are opened together; later B is closed. The tub is filled in 8 hours in total. For how long was B open?
- A mobile manufacturing company: 6 staff members packed 6 mobiles in 6 minutes. The management wants 60 mobiles packed in 60 minutes. How many staff members are required in total?
View More Questions
Top SNAP Questions
- In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
- Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
- It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
- A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
- The sum of prime numbers that are greater than 60, but less than 70 is :
View More Questions