- Work rate is the reciprocal of the time taken to complete the work. - The combined work rate is the sum of individual work rates. - For this specific type of problem (where individuals take $a$ and $b$ hours more than the combined time $T$), $T = \sqrt{ab}$.
Two workers M and N are engaged to do a work. M working alone takes 8 hours more to complete the work than if both worked together. If N worked alone, he would need 4.5 hours more to complete the task than they both work together. What time will they take to complete the work together?
Asked in GPSC Prelims CSP 1 2018 · Topic: Tertiary Sector (Key Sub-sectors within Services: Overview and Interlinkages)
More Economic Development questions
- P and Q are two alloys of copper and nickel prepared by mixing metals in the ratio of 2:7 and 7:11 respectively. If equal quantities of these two alloys are melted to form a third alloy Z, then what would be the ratio of nickel and copper in Z ?
- P, Q and R invested Rs. 40000, Rs. 50000 and Rs. 60000 respectively in a business. P gets 25% of profit earned for managing the business. The rest of the profit is divided among P, Q and R in proportion to their investments. If in a particular year, P gets Rs. 2000 lesser than the amount received by Q and R together, then what is the total profit for that year?
- A shopkeeper gives 12% discount on certain goods on marked price. However he still makes gross profit of 32% on cost price. If Rs. 2500 is cost price of that goods what is the marked price of that goods?
- - The selling price is also the marked price after the discount is applied. So, SP = MP - (Discount % of MP). Discount = 12% of MP = 0.12 MP. Substitute the calculated SP into this equation: 3300 330000 / 88. - Simplifying the fraction: MP = 82500 / 22 = 41250 / 11 = 3750. 135. A shopkeeper marks the price of three identical articles, first, 60% above the Cost Price; second, 45% above the Cost Price and the third, 40% above the cost price. If he gives discount of 25% on first article, 20% on the second article and 15% on the third one, what is his overall profit percentage?
- A dealer bought a six-seater Dining Table after getting successive discounts of 15% and 12%. Thereafter, he spent 10% on transport, etc. and finally sold it for Rs. 24,169.75, thereby earning a profit of 25%. What was the marked price of the Dining Table?
- By selling an umbrella for ₹ 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a rebate of 10% on the marked price. The percentage of the shopkeeper's gain is
- On a bus route from place A to place B, if the fare is kept at ₹ x per passenger, then 50-x passengers are expected to travel. What should be the fare in order to maximize the revenue?
- A swimming pool is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the swimming pool in the same time, during which the swimming pool is filled by the third pipe alone. The second pipe alone fills the swimming pool 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe only to fill the swimming pool is