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CBSE Class 10 Answered

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Asked by shettyatul17 | 04 Mar, 2019, 09:03: PM
answered-by-expert Expert Answer
Let one pipe alone takes t minutes to fill the tank. hence other one will takealone  (t+5) minutes to fill the tank.
 
Fraction of tank filled by both pipes together = begin mathsize 12px style 1 over t space plus space fraction numerator 1 over denominator t plus 5 end fraction space equals space fraction numerator 2 t plus 5 over denominator t open parentheses t plus 5 close parentheses end fraction end style
Time taken by both pipes to fill the full tank = begin mathsize 12px style fraction numerator t open parentheses t plus 5 close parentheses over denominator 2 t plus 5 end fraction space equals space 6 end style  .......................(1)
eqn.(1) is written as, t2 -7t -30 = 0   or  (t-10)(t+3) = 0  .  Hence acceptable solution for t :  t = 10
 
Hence one pipe alone can fill the tank in 10 minutes. Other one will alone fill the tank in 15 minutes.
Answered by Thiyagarajan K | 04 Mar, 2019, 10:52: PM

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