Bissoy.com
Doctors Medicines MCQs Q&A

  1. 73/161
  2. 72/161
  3. 71/161
  4. 70/161
  5. 69/161
8 views

1 Answers

Option 2 : 72/161

Let V be the volume of tank. So

Speed of flow of water in pipe A = V/6

Speed of flow of water in pipe B = V/8

Speed of flow of water in pipe C = V/10

Desired case:

Time when tank is half filled,

V/6 + V/8 = V/2/t

⇒ 14V/48 = V/2t

⇒ t = 48/28 = 12/7 hrs

Now when C is opened,

V/6 + V/8 – V/10 = V/2T

⇒ 20 + 15 – 12/ 120 = 1/2T

⇒ 23/60 = 1/T

⇒ T = 60/23 hrs

So total time taken = t + T = 12/7 + 60/23 = 696/161 hrs

Now case mistakenly happened:

Time when tank is 3/4th filled,

V/6 + V/8 = (3V/4)/t

⇒ 14V/48 = 3V/4t

⇒ t = 48 × 3/4 × 14 = 18/7 hrs

Now when C is opened,

V/6 + V/8 – V/10 = V/4T

⇒ 20 + 15 – 12/ 120 = 1/4T

⇒ 23/30 = 1/T

⇒ T = 30/23 hrs

So total time taken = t + T = 18/7 + 30/23 = 624/161 hrs

∴ Difference in time taken = 696/161 – 624/161 = 72/161 hrs
8 views

Related Questions

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank?
1 Answers 6 Views
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank.?
1 Answers 12 Views
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: There are two inlet pipes A, B and two outlet pipes C, D inlet pipe B takes 7 hours more to fill the tank when compared to A. Two outlet pipes when working together can empty the tank in 3.5 hours and efficiency of both the pipe is same if all of them working together can fill the tank in 2 hours. Calculate the time taken by A to fill the tank. Quantity B: The ratio of efficiencies of two pipes A and B is in the ratio 3 ∶ 2 and that of pipe B and C is 1 ∶ 3. Pipe A and B are inlet pipes, pipe C is outlet pipe working together they can fill the tank in 7.5 hours. Calculate the time taken by A to fill the tank when working alone.?
1 Answers 10 Views