A tank is filled in 11 hours by three pipes a, b and
c. the pipe c is twice as fast as b and b is twice as fast as
a. how much time will pipe a alone take to fill the tank?
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let time taken by a be x
then time taken by b is 2x
then time taken by c is 4x
acc to que
x+2x+4x=11
7x=11
x=7/11
time taken by a is 7/11 hrs
then time taken by b is 2x
then time taken by c is 4x
acc to que
x+2x+4x=11
7x=11
x=7/11
time taken by a is 7/11 hrs
Answered by
0
Answer:
Pipe a alone takes 77 hrs to fill the tank.
Step-by-step explanation:
Let time taken by pipe a= x hrs.
∴ Time taken by pipe b = x/2 hrs.
∴Time taken by pipe c = x/4 hrs.
Total time taken to fill the tank by 3 pipes= 11 hrs.
So,
(1/x) + (2/x) +(4/x) =1/11
(1+2+4)/x=1/11
7/x=1/11
x= 11 ×7 =77 hrs
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