How do I solve for x
1 answer:
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Answer:
It will take 6 hours for the new pump to drain the pool.
Step-by-step explanation:
As the complete question is not given, the complete question is found online and is attached herewith
Let the rate of new pump is given as x=W/t_1
Let the rate of the old pump is given as y=W/t_2
it is given that the time t_2=2t_1
So by substituting the values of t_2 in the rate equation of y
y=W/2t_1
y=(W/t_1*2)=x/2
Also the total rate of both the pumps is given as W/t3 where t3 is given as 4 hours so the equation becomes
x+y=W/4
x+x/2=W/4
3x/2=W/4
As x=W/t_1
3W/2t_1=W/4
Now as W is same on both sides so
3/2t_1=1/4
12=2t_1
t_1=6 hours
So it will take 6 hours for the new pump to drain the pool.
Answer:
15 cm
Step-by-step explanation:
Given:
The two cylinders shown in the figure are similar to each other.
Therefore, when two figures are similar their measures are in proportion.
So, radius and height of both the cylinders are in proportion.
Radius of both the cylinders are 2 cm and 5 cm respectively. Height of the smaller cylinder is 5 cm. Now,
Doing cross multiply, we get:
Dividing both sides by 2, we get:
Therefore, the height of the larger cylinder must be 15 cm in order to make both the cylinders similar to each other.