Exams › SSC CGL (Prelims) › General

P and Q can finish a certain job in 24 and 36 days, respectively. They started working together, but P left after a while, and Q completed the remaining work in 16 days. How many days did P work before leaving?

1. 6 days
2. 8 days
3. 203 days
4. 223 days

Correct answer: 8 days

Solution

Q alone completes \(16/36=4/9\) of the work in 16 days, so the remaining work done together was \(5/9\). Their combined rate is \(1/24+1/36=5/72\) per day, so the time together was \((5/9)/(5/72)=8\) days. Hence, P worked for 8 days before leaving.

Related SSC CGL (Prelims) General questions

• A shopkeeper sells rice at a discount of 6% on the marked price but uses a weight that is 25% less than the actual weight. Find his overall profit percentage.
• The profit made on an article sold for ₹2400 is equal to the loss incurred when it is sold for ₹2000. What will be the profit or loss percentage if the article is sold for ₹2200?
• Train A leaves Station X at 5:00 AM at 50 km/h. Train B leaves Station Y at 7:30 AM at 80 km/h. Both trains move towards each other. The distance between the stations is 500 km. When do they meet?
• A wholesaler marks up goods by 50% and gives a 12% trade discount. A retailer marks up by 20% and offers an 8% discount. The customer pays ₹12,216. What is the wholesaler's cost price approximately?
• If A : B = 3 : 4, B : C = 5 : 6, and C : D = 7 : 8, then find B : D.
• What is the result of $3^2 + 5 \div 0.8$?

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →