Question
A tank is filled by three pipes with uniform flow. The
first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 45 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?Solution
Let time taken by third pipe to fill the tank = x hrs so time taken by 2nd pipe to fill the tank = x + 4 hrs & time taken by 1st pipe to fill the tank = x + 4 + 45 = x + 49 hrs; Hence 1/(x+4) +1/(x+49) = 1/x (x + 4 + x + 49)/ {(x + 4)(x + 49)} = 1/x (2x + 53)/(x2 + 53x + 196) = 1/x 2x2 + 53x = x2 + 53x + 196 x2 = 196 x = 14 hrs So time taken by 1st pipe to fill the tank = x + 49 = 14 + 49 = 63 hrs Alternate Method :- Let time taken by third pipe to fill the tank = x hrs so time taken by 2nd pipe to fill the tank = x + 4 hrs & time taken by 1st pipe to fill the tank = x + 4 + 45 = x + 49 hrs; Then x = root of (4 × 49) = root of 196 = 14 hrs So time taken by 1st pipe to fill the tank = x + 49 = 14 + 49 = 63 hrs.
Which part of the Indian Constitution deals with the administration of tribal and scheduled areas?
Who elects the Vice President of India?
Consider the following:
I. Prime Minister
II. Union Home Minister
III. Speaker of the Lok Sabha
IV. Deputy Chairman of the R...
In which location did Jawaharlal Nehru proclaim Poorna Swaraj or complete independence for India?
World Humanitarian Day is celebrated on_______?
Who is responsible for the appointment, posting, and promotion of district judges in an Indian state?
Under which article of the Indian Constitution can the Lok Sabha, in a special sitting, disapprove the continuance of a National Emergency even if the R...
The 74th Amendment Act of 1992 added which new Part to the Constitution of India?
Anthurium plant often mentioned in the news is a
The 73rd Constitutional Amendment Act, which concerns the governance structure of which rural administrative body?