There are 4 pipes A, B, C and D. B takes 45minutes more than A to fill a tank, C takes 45 minutes more than A to fill same tank and D takes 3 Hours more than A to fill same tank. If pipes A and D can together fill tank in same time as taken by B and C together then time taken by A to fill tank is:
Answers
Step-by-step explanation:
There are 4 pipes A, B, C and D. B takes 45minutes more than A to fill a tank, C takes 45 minutes more than A to fill same tank and D takes 3 Hours more than A to fill same tank. If pipes A and D can together fill tank in same time as taken by B and C together then time taken by A to fill tank is:
Answer:
Step-by-step explanation:
Taking LCM OF 45 and 60 which is 180.
If the capacity of tank is 180 liters
Rate of filling of A is 3/4(45/60) and B fills water im the tank 3/4 of the tank in 60minutes so in 1 minute = 3/(4*60).
So, if both taps are opened togetherfor 1 minute, then after 2 minutes the amount of tank will be filled is 1 litre.
Then, total of 176 liters will be filled in 176 x 2=352 minutes.
When in the 352th minute tap A and B will simultaneously open to fill the entire tank in 353 minutes= 5 hours and 53 minutes.