There are three pipes, A, B and C, opening into a tank. Each pipe can be used to fill or empty the tank at the same respective rate. The ratio of the rates of the three pipes at which they either fill or empty the tank is 2 : 3 : 4. Pipes A and B, working together, take 3 hours to fill the tank when both are used as inlet pipes. In the first, second and third hours of operation, the pipes, A, B and C respectively are used as emptying pipes, while the other two pipes are used as filling pipes. What is the fraction of the tank to be filled at the end of the three hours ?
There are three pipes, A, B and C, opening into a tank. Each pipe can be used to fill or empty the tank at the same respective rate. The ratio of the rates of the three pipes at which they either fill or empty the tank is 2 : 3 : 4. Pipes A and B, working together, take 3 hours to fill the tank when both are used as inlet pipes. In the first, second and third hours of operation, the pipes, A, B and C respectively are used as emptying pipes, while the other two pipes are used as filling pipes. What is the fraction of the tank to be filled at the end of the three hours ?
There are three pipes, A, B and C, opening into a tank. Each pipe can be used to fill or empty the tank at the same respective rate. The ratio of the rates of the three pipes at which they either fill or empty the tank is 2 : 3 : 4. Pipes A and B, working together, take 3 hours to fill the tank when both are used as inlet pipes. In the first, second and third hours of operation, the pipes, A, B and C respectively are used as emptying pipes, while the other two pipes are used as filling pipes. What is the fraction of the tank to be filled at the end of the three hours ?
I just assumed A, B and C to be doing 2, 3, 4 units of work per hour. Now A and B together will do 2+3 = 5 units per hour, so if they take 3 hours, total work must be 15 units.
Now in the three hours each tap is filling for 2 and emptying for 1 so effectively equivalent to filling for one hour....so total work done = 2+3+4 = 9 out of 15 = 3/5 or 60%
There are three pipes, A, B and C, opening into a tank. Each pipe can be used to fill or empty the tank at the same respective rate. The ratio of the rates of the three pipes at which they either fill or empty the tank is 2 : 3 : 4. Pipes A and B, working together, take 3 hours to fill the tank when both are used as inlet pipes. In the first, second and third hours of operation, the pipes, A, B and C respectively are used as emptying pipes, while the other two pipes are used as filling pipes. What is the fraction of the tank to be filled at the end of the three hours ?
I just assumed A, B and C to be doing 2, 3, 4 units of work per hour. Now A and B together will do 2+3 = 5 units per hour, so if they take 3 hours, total work must be 15 units.Now in the three hours each tap is filling for 2 and emptying for 1 so effectively equivalent to filling for one hour....so total work done = 2+3+4 = 9 out of 15 = 3/5 or 60%regardsscrabbler
mein same tarike se kar raha tha....galti nahi batauna nahi toh loag pattharon se maarenge mujhe...
There are three pipes, A, B and C, opening into a tank. Each pipe can be used to fill or empty the tank at the same respective rate. The ratio of the rates of the three pipes at which they either fill or empty the tank is 2 : 3 : 4. Pipes A and B, working together, take 3 hours to fill the tank when both are used as inlet pipes. In the first, second and third hours of operation, the pipes, A, B and C respectively are used as emptying pipes, while the other two pipes are used as filling pipes. What is the fraction of the tank to be filled at the end of the three hours ?
Q: a fraction has a numerator equal to 1 and its denominator is a +ve integer. What is the max no. of different fractions such that their sum is equal to 1 and their denos. are
There are three pipes, A, B and C, opening into a tank. Each pipe can be used to fill or empty the tank at the same respective rate. The ratio of the rates of the three pipes at which they either fill or empty the tank is 2 : 3 : 4. Pipes A and B, working together, take 3 hours to fill the tank when both are used as inlet pipes. In the first, second and third hours of operation, the pipes, A, B and C respectively are used as emptying pipes, while the other two pipes are used as filling pipes. What is the fraction of the tank to be filled at the end of the three hours ?
Q: a fraction has a numerator equal to 1 and its denominator is a +ve integer. What is the max no. of different fractions such that their sum is equal to 1 and their denos. are
if the denominator can be same then -> 1/10 + 1/10 +... + 1/10 = 1 (10 such fractions)
if the denominator cannot be same then -> 1/2 + 1/3 + 1/6 = 1 (3 such fractions)
if the denominator can be same then -> 1/10 + 1/10 +... + 1/10 = 1 (10 such fractions) if the denominator cannot be same then -> 1/2 + 1/3 + 1/6 = 1 (3 such fractions)
Symmetry lagao.. ( aur thodi trigo ) Connect the centres of inner circles you will find that it makes an equilateral traingle!So Radius of bigger circle will come out to be (1+2/root(3))hence Area = pie/3 * (2 + root(3) )^2
thoda explain kijiye..m gettin radius as rt3+1/rt3
Q: a fraction has a numerator equal to 1 and its denominator is a +ve integer. What is the max no. of different fractions such that their sum is equal to 1 and their denos. are
