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Shashank Shah

· started a discussion

· 1 Months ago

Please help (Question: 285152.0 )

If we take LCM as 120 then answer will be 48 days kindly help

Question:

Two pipes A and B fill a swimming pool at constant rate of 10 gallon per minute and 15 gallon per minute respectively. The pool can be filled by A, B or both respectively in 60 hrs, 40 hrs or 24 hrs. If the pool is filled by using the pipe B alone for half the time and by using both for half the time. How many hours does it take to fill the pool?

Options:
A)

15 hrs

B)

30 hrs

C)

38.7 hrs

D)

42 hrs

Solution:

Ans: (b)

  

Ambarish Gupta

· commented

· 1 Months ago

bhai..aap 120 ni le sakte..qki aapko total work 24 days m complete krana h..120 lene pr wo 12 days m hi complete ho jayega..which doesnot suits to the condition provided in question.

Vijay Sharma

· commented

· 1 Months ago

days? what the hell? dont behave like knowledge expert.. its coming perfect 30 hours

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
Detailed explanation-
pipe A can fill the tank in 1 hr. = 1/60 part
pipe B can fill the tank in 1 hr. = 1/40 part
Pipe A and B can fill the tank in 1 hr.= 1/24
Let time required to fill the tank is = T hour

According to question,
pipe B can fill the tank in 1 hr. = 1/40 part
pipe B can fill the tank in T/2 hr. = 1/40* T/2= T/80

Pipe A and B can fill the tank in 1 hr.= 1/24
Pipe A and B can fill the tank in T/2 hr.= 1/24*T/48= T/48

T/80+T/48= 1 (Both are filled the tank completely)

T(3+5)/240=1
T= 240/8
T= 30 hr.

I hope you got it.

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