Question: A tank, which usually takes 5 hours to be filled, takes 6 hours to fill because of a leak. Find the time in which the leak can empty the tank if it is filled and the inlet pipe is shut.
- 30 hours
- 27.5 hours
- 25 hours
- 22.5 hours
- 20 hours
Correct Answer: A
Solution and Explanation:
Approach Solution 1:
Given: A tank, which usually takes 5 hours to be filled, takes 6 hours to fill because of a leak
Find out: Find the time in which the leak can empty the tank if it is filled and the inlet pipe is shut
Let us assume that the Tank has a capacity of: 120 L
- The usual time taken to fill the the tank is 5 hours
Hence, in one hour, the tank fills: 120/5 = 24 Liter/hour.
- Time taken to fill the the tank with leak is 6 hours
Hence, time taken to fill the the tank with leak is 120/6 = 20 L/hour
- The flow of leakage is (24 - 20 = 4 Litre/hour).
- Now, time in which the leak can empty the tank if it is filled and the inlet pipe is shut
=> Hence, total litre divided by 4.
= 120/4
= 30 Hours
Approach Solution 2:
Given: A tank, which usually takes 5 hours to be filled, takes 6 hours to fill because of a leak
Find out: Find the time in which the leak can empty the tank if it is filled and the inlet pipe is shut
From the provided information, we understand that in 6 hours, the leak drains 1/5 of tank
Once the inlet is shut, the time in which the tank can be emptied is:
=5*6 hours
=30 hours
Approach Solution 3:
Let x be the time taken leak to empty the full tank
fraction of tank filled by inlet pipe in one hour = 1/5 ( in no leakage)
fraction of tank emptied by leak hole in one hour = 1/x
Tank capacity = 1 unit
(1/5 - 1/x) * 6 = 1 ( in the presence of leak it takes 6 hours to fill the tank)
solving for x we get, x = 30 hours
“A tank, which usually takes 5 hours to be filled, takes 6 hours to fill because of a leak.”- is a topic of the GMAT Quantitative reasoning section of GMAT. The question has been taken from the book “The Official Guide for GMAT Review.” To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.
Suggested GMAT Problem Solving Questions
- If x and y are positive integers and (1/7)^x * (1/8)^12 = (1/8)^1/18y, then what is the value of y-x? GMAT Problem Solving
- At Springfield High, three-fourths of the male students and half of the female students speak a foreign language GMAT Problem Solving
- What is the number of integers from 1 to 1000, inclusive that are not divisible by 11 or by 35? GMAT Problem Solving
- If m is Three Times n, and if 2n + 3 is 20% of 25, What is the value of m? GMAT Problem Solving
- If Ben Were to Lose the Championship, Mike would be the Winner GMAT Problem Solving
- A Train Travelling at a Certain Constant Speed takes 30 seconds GMAT Problem Solving
- A conference room is equipped with a total of 45 metal or wooden chairs. GMAT Problem Solving
- A welder received an order to make a 1 million litre cube-shaped tank. GMAT Problem Solving
- After 6 games, Team B had an average of 61.5 points per game. GMAT Problem Solving
- If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a three-percent vinegar solution, what was the concentration of the original solution? GMAT Problem Solving
- A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. GMAT Problem Solving
- A circle is inscribed in a square with the diagonal of 4 centimeters. GMAT Problem Solving
- At a dog competition, a dog is awarded 10 points if it runs through 4 pipes, makes 10 jumps, and walks on 2 beams. GMAT Problem Solving
- Two consultants, Mary and Jim, can type up a report in 12.5 hours and edit it in 7.5 hours. GMAT Problem Solving
- Simplify:\frac{4.5-2*\frac{3}{6}+\frac{1}{4^2}}{0.75} GMAT Problem Solving
- There are 6 points on xy-plane. GMAT Problem Solving
- Mike, Tom, and Walt are working as sales agents for an insurance company. GMAT Problem Solving
- A Commonwealth condominium complex has k apartments, n of which are rented at s dollars a month, providing total monthly revenue of p dollars. GMAT Problem Solving
- The Figure Below Shows a Square Inscribed in a Circle with the Radius of√6. What is the Area of the Shaded Region? GMAT Problem Solving
- What is the value of k if the sum of consecutive odd integers from 1 to k equals 441? GMAT Problem Solving
- A circle with a radius R is inscribed into a square with a side K. GMAT Problem Solving
- Machine A can do a certain job in 12 days working 2 full shifts while Machine B can do the same job in 15 days working 2 full shifts. GMAT Problem Solving
- The square of \(5^\sqrt2)\ =? GMAT Problem Solving
- The population of the bacteria colony doubles every day. If it was started 9 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today? GMAT Problem Solving
- If t/u= x/y and t/y=u/x where t, u, x, and y are non-zero integers, which of the following is true? GMAT Problem Solving
- A farm has chickens, cows and sheep. GMAT Problem Solving
- In how many different ways can a group of 8 people be divided into 4 teams of 2 people each? GMAT Problem Solving
- If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other? GMAT Problem Solving
- If the equation |x|+|y|= 5 encloses a certain region on the graph, what is the area of that region? GMAT Problem Solving
- If x = ¾ and y = ⅖ , what is the value of (x^2+ 6x+ 9) - (y^2-2y+ 1)? GMAT Problem Solving
- (15^11 - 15^10)/14 =? GMAT Problem Solving
- If g is an integer what is the value of (-1)^g^4-1? GMAT Problem Solving
- What is the area of the triangle with the following vertices L(1,3) M(5,1) and N(3,5)? GMAT Problem Solving
- If,P^2-QR=10,Q^+PR=10,R^2+PQ=10 and R≠QR≠Q, what is the value of P^2+Q^2+R^2? GMAT Problem Solving
- If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater than 1? GMAT Problem Solving
- How many 5-letter words can be formed using the letters of the English alphabet that contain 2 different vowels and 3 different consonants? GMAT Problem Solving
- If y (u-c) = 0 and j (u-k) = 0, which of the following must be true, assuming c < kc < k? GMAT Problem Solving
- If 2^98= 256L+N, where L and N are integers and 0≤N≤4, what is the value of N? GMAT Problem Solving
- If a+b+c = 0 and a^3+b^3+c^3 = 216, what is the value of a∗b∗c ? GMAT Problem Solving
- If a polygon has 44 diagonals, then how many sides are there in the polygon? GMAT Problem Solving
- If (a1 + a2 + a3 + .... +an) = 3(2n+1 - 2), for every n≥1, then a11 equals GMAT Problem Solving
- A chord of a circle is equal to its radius. GMAT Problem Solving
- A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. GMAT Problem Solving
- A Container in the Shape of a Right Circular Cylinder is 1/2 GMAT Problem Solving
- How many multiples of 7 are there between 21 and 343, exclusive? GMAT Problem Solving
- How many odd factors does 210 have? GMAT Problem Solving
- How many three-digit integers are not divisible by 3? GMAT Problem Solving
- How many three-digit numbers are there such that all three digits are different and the first digit is not zero? GMAT Problem Solving
- There was a series of two successive discounts of y% on the price of Laptop GMAT Problem Solving
- The product of two negative numbers is 160. GMAT Problem Solving
Comments