Using Quadratic Formula to solve Quadratic Equations
Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.3 Q9 Download this solution
9. Two water taps together can fill a tank in
hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
Solution:
Let time taken by tap of smaller diameter to fill the tank =
hours
Let time taken by tap of larger diameter to fill the tank =
hours
It means that tap of smaller diameter fills
part of tank in 1 hour. (1)
And, tap of larger diameter fills
part of tank in 1 hour. (2)
When two taps are used together, they fill tank in
hours.
In 1 hour, they fill
part of tank {
} (3)
From (1), (2) and (3), we can say that
Comparing equation
with general equation
, we get
and
.
Applying quadratic formula
, we get
Time taken by larger tap =
hours
Time cannot be in negative. Therefore, we ignore this value.
Time taken by larger tap =
hours
Therefore, time taken by larger tap is
hours and time taken by smaller tap is
hours.
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