A rectangular reservoir (80m by 60m) contains water 6.5m deep. In what time can it be drained by a pipe with a 20cm square cross-section running at 15 km/h?
Show answer Hide answer
Answer: C. 52hours
Explanation
Calculating the total volume of water in the rectangular reservoir requires multiplying length, width, and depth. Determining the discharge rate of the drainage pipe involves multiplying its cross sectional area by speed. Dividing the total water volume by the hourly pipe discharge rate yields a draining time of fifty two hours. Reservoir volume is measured in cubic units by multiplying surface area dimensions by water depth. Pipe discharge capacity depends on the cross sectional area and the velocity of fluid flow. Unit conversions ensure consistency between meters, centimeters, and hours during complex calculations.
Civil engineers calculate reservoir drainage times when planning maintenance for municipal water treatment plants. Hydraulic system design relies on accurate flow rate computations to prevent flooding or overflow. Agricultural irrigation projects use similar volumetric formulas to manage water distribution reservoirs. Option A suggests twenty six hours which cuts the required draining time in half incorrectly. Option B proposes forty two hours which fails to match the precise fluid dynamics calculation. Option D offers sixty five hours which overestimates the discharge capacity of the drainage pipe.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. Given two numbers where adding 40% of the initial number to the second causes the second number to rise to five-fourths of its value, find the proportion between the initial and second numbers?
Show answer Hide answer
Answer: D. 5 : 8
Adding 40 percent of the initial number to the second number equates to five-fourths of the second number. Rearranging this algebraic relationship isolates the ratio of the initial number to the second number. Simplifyin...
Q2. Four prime numbers in ascending order have a product of 7429 for the first three and 12673 for the last three. Find the fourth number.
Show answer Hide answer
Answer: B. 29
Prime factorization of seven thousand four29 yields the product of the first three consecutive prime numbers as seventeen, nineteen, and twenty-three. Prime factorization of twelve thousand six hundred seventy-three yiel...
Q3. What is the surface area of a (10cm x 4cm x 3cm) brick__________?
Show answer Hide answer
Answer: C. 164 Sq.cm
The total surface area of a rectangular brick is calculated using the formula two times length times width plus length times height plus width times height. Substituting the given dimensions of ten, four, and three centi...
Q4. Three 6-sided dice are rolled simultaneously. What is the probability that no two dice display the same number__________?
Show answer Hide answer
Answer: B. 5/9
The total number of possible outcomes when rolling three six-sided dice is six cubed, or 216. The number of favorable outcomes where all three dice show distinct numbers is calculated as six times five times four. Dividi...
Q5. Three election candidates received 1136, 7636, and 11628 votes respectively. What vote percentage did the winner secure?
Show answer Hide answer
Answer: D. None of these
Summing the individual vote counts of eleven thirty-six, seven_thousand six thirty-six, and eleven_thousand six twenty-eight gives a total of twenty thousand four hundred votes. Dividing the winner's vote count of eleven...
Q6. Three candidates contested an election, gathering 1136, 7636, and 11628 votes. What percentage of total votes went to the winner?
Show answer Hide answer
Answer: A. 57%
Summing the votes received by all three candidates yields a total cast vote count of twenty thousand four hundred. The winning candidate secured eleven thousand six28 votes out of the aggregate total number of votes cast...