Exams › GATE › General Aptitude
It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in 10 minutes?
- 4 times the draining rate
- 3 times the draining rate
- 2.5 times the draining rate
- 2 times the draining rate
Correct answer: 3 times the draining rate
Solution
A half-full tank is emptied in 30 minutes, so the draining rate is half-tank per 30 minutes = 1/60 tank per minute. To go from half-full to full in 10 minutes, the net filling rate must be half-tank per 10 minutes = 1/20 tank per minute. Therefore, pump rate = net filling rate + draining rate = 1/20 + 1/60 = 1/15 tank per minute, which is 3 times the draining rate.
Related GATE General Aptitude questions
- In a locality, the house numbers on one side of a road are consecutive odd integers starting from 301, while the house numbers on the other side are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference between the sums of the house numbers on the two sides is 27, then the number of houses on each side is
- Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
- On a given day, how many times will the second hand and the minute hand of a clock cross each other during the time from 12:05:00 to 12:55:00?
- Three distinct sets of indistinguishable twins are to be seated at a circular table with 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people. How many unique seating arrangements are possible such that each person is sitting next to their twin?
- In the 4 × 4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule. 1 1 2 2 X 3 2 X 4 1 2 X Rule: The number in a cell represents the count of crosses around its immediate neighboring cells (left, right, top, bottom, and diagonals). As per this rule, the maximum number of crosses possible in the empty column is
- During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the ratio of the Earth-Sun and Earth-Moon distances is closest to
⚔️ Practice GATE General Aptitude free + battle 1v1 →