Bissoy.com
Doctors Medicines MCQs Q&A

Water has been poured into an empty rectangular tank at the rate of 5 cubic feet per minute for 6 minutes. The length of the tank is 4 feet and the width is one half of the length. How deep is the water in the tank?

Water has been poured into an empty rectangular tank at the rate of 5 cubic feet per minute for 6 minutes. The length of the tank is 4 feet and the width is one half of the length. How deep is the water in the tank? Correct Answer 3 ft. 9 inches

6 minute ধরে 5 cubic feet = 5*6 = 30 cubic feet in tank length = 4ft, then width = 4/2 = 2ft therefore, base area = 4*2 = 8 sq ft base area*depth = 8*depth = 30 cubic ft depth = 30/8 = 3.75 feet = 3 ft 9 inches

Related Questions

Water is poured into an empty cylindrical tank at a constant rate for 5 minutes. After the water has been poured into the tank. the depth of the water is 7 feet. The radius of the tank is 100 feet. Which of the following is the best approximation for the rate at which the water was poured into the tank ?
Given below are three quantities named A, B and C. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. The options represent the relations between these three quantities A) > B) < C) = D) ≤ E) ≥ Two pipes P and Q can fill an empty tank in 20 minutes and 30 minutes respectively. Quantity A: If both pipes are opened simultaneously, then after what certain time P should be closed so that further time after which the tank is filled in 15 minutes? Quantity B: If both are opened and P is closed after 8 minutes, how much further time would it take for Q to fill the bucket? Quantity C: Pipe A and B can fill a tank in 15 minutes and 10 minutes respectively. Pipe C can empty the tank in 5 minutes. Pipe A and B are opened simultaneously and after the 4-minute pipe, C is also opened. In what time the tank will be emptied?
A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.
The length, width, and depth of a rectangular box are 6 feet, 5 feet, and 7 feet, respectively, A pipe supplies water at a rate of 6 cubic feet per minute. How much time, in minutes, would it take for the pipe to fill a conical box whose volume is three times the volume of the rectangular box?
Two pipes are connected to tank 1 and one pipe connects tank 1 and tank 2 at the bottom of both tanks. At first pipe A and pipe B will filling tank 1 and then pipe C would be opened to fill tank 2. Capacity of tank 1 is twice capacity of tank 2. Pipe C takes 8 minutes to fill the whole tank 2 wherein discharging capacity of pipe C is 62.5 liters per minute. Ratio of time taken by pipe A and B to fill the tank when operating alone is 4 : 5 then find approximate discharging capacity of pipe A and B in liters/ minute if both the pipes discharge equal amount of water in tank. Time taken by pipe A and B to fill the tank 1 is 20/ 3 minutes
A tank has an optional adjustable outlet pipe that can be attached to the tank at any height we want. This outlet pipe drains water from the tank at a constant rate, while the tank is being filled using another inlet pipe at a constant rate. If the outlet, pipe is attached at half the height of the tank, the tank, which is initially empty gets filled in 18 hours. If the outlet pipe is attached at height equal to two third height of the tank, the tank, which is initially empty, is filled in 16 hours. In how many hours will the tank, which is initially empty, be completely filled if the outlet pipe is not attached to the tank?
The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Pipe A and B can fill a tank at the rate of 12 and 10 litre per minute respectively. What is the capacity of the tank? I. Pipe C can empty tank in 5 hours. II. If A and B are opened simultaneously, the tank is filled in 5 hours 45 minutes and a leakage hole drains the pipe at the rate of 6 litres/minute.  III. If A and B are opened simultaneously, the tank is filled in 5 hours 45 minutes and due to a leakage, the filled tank drains in 15 hours 20 minutes.
A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively. Consider the following statements S1, S2 and S3: S1: Pipe R drains out at the rate of 6 litres per minute S2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutes S3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes. To know what is the capacity of the tank, which one the following is correct?
Rita is a ward-member of her area; she wishes to create a community room of size 11 feet × 16 feet. To lay tiles on the floor she has four options: 1.5 feet × 1.5 feet, 2 feet × 2 feet, 2.5 feet × 2.5 feet, 3 feet × 3 feet. Which size of tile should she buy for the community room, so that she can lay tiles without cutting?
A water tank has three taps attached to it at three places namely A, B and C. Of these taps two of them viz. A & B can fill the tank while third tap C can empty the water tank. Time required by A & B to completely fill the tank is 10 minutes and 40 minutes respectively while tap C can empty it in 10 minutes. If all the three taps are kept open successively for 1 minute each, calculate the shortest time in which the entire water tank can be filled?