In how many days can ‘Q’ alone complete the work?
I. P, Q and R together can complete the work in 9`(3)/(13)` days.
II. P and Q together can complete the work in 10 days, Q and R together the work together in 20 days, and P and R together can complete the work in 15 days.
From I. (P + Q + R) can do the work in 93/13 days. Hence, from I alone we cannot get the answer. From II. (P + Q)’s one day work = 1/10 part of the work……… (i) (Q + R)’s one day work = 1/20 part of the work……….. (ii) (P + R)’s one day work = 1/15 part of the work………… (iii) ∴ 2(P + Q + R)’s one day work = 1/10 + 1/20 +1/15 = 13/60 ∴ (P + Q + R)’s one day work = 13/120………….. (iv) By subtracting (iii) by (iv), we get Q’s one day work. ∴ Q’s one day work = 13/120 - 1/15 = 5/120 = 1/24 Hence, from II alone we can get the answer.
A rectangular water tank is 80 m x × 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will ...
The cost of fencing a rectangular field at the rate of Rs. 5/metre is Rs. 330. If the length of the field is 11 metres more than its breadth, then find ...
The population of a town is 64000. It increased by 10% during the first year. During the second year, it decreased by 25% and increased by 5% during the...
The perimeter of a rectangle is 50% more than perimeter of a square of side 25 cm. If the length of rectangle is 100% more than side of square then fin...
Area of a rhombus whose one of the diagonals (d1) is 28 cm, is 560 cm2. Each side of a square paper is 20 cm more than other diagonal (d2) of...
A cone is parallel to its base in such a way that the volume of the smaller cone is 1/2197 times of the bigger cone. Find the height of the smaller co...
<p><p>The area of four walls of a room is 120 cm<sup>2</sup>. If the length and breadth of the room were...
The cost of fencing a rectangular field at the rate of Rs. 7/metre is Rs. 350. If the length of the field is 11 metres more than its breadth, then find ...
If the word PHOTOGRAPH is spelt with ‘F’ in place of ‘PH', then what would be the percentage reduction in the number of letters?
A and B together started a business with initial investment in the ratio of 3:5, respectively. The time-period of investment for A and B is in the ratio...