Answer:
Tap A 3hrs
Tap B 6hrs
Step-by-step explanation:
Let the volume of the swimming pool be Xm^3.
Now, to get the appropriate volume, we know we need to multiply the rate by the time. Let the rate of the taps be R1 and R2 respectively, while the time taken to fill the swimming pool be Ta and Tb respectively.
x/Ta= Ra
x/Tb= Rb
X/(Ra + Rb)= 2
Ta = Tb - 3
From equation 2:
X = 2( Ra + Rb)
Substituting the values of Ra and Rb Using the first set of equations
X = 2( x/Ta + x/Tb)
But Ta = Tb - 3
1/2 = 1/(Tb - 3)+ 1/Tb
0.5 = (Tb + Tb-3)/Tb(Tb - 3)
At this juncture let’s say Tb = y
0.5 = (2y - 3)/y(y - 3)
y(y-3 ) = 4y - 6
y^2 -3y - 4y + 6 = 0
y^2 -7y + 6= 0
Solving the quadratic equation, we get y =
y = Tb = 6hrs or 1hr
We remove one hour as we know that Tap A takes 3hrs left than tap B and there is nothing like negative hours
Now, we get Ta by Tb -3 = 6 - 3 = 3hrs
Answer:
Volume of cylinder is 6285.71 square units.
Step-by-step explanation:
Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.
r=10 units
⇒ Diameter, d = 20 units
Also given height is twice its radius.
⇒ Height=2(r)=2(10)=20 units
<h2><em><u>Volume of cylinder=πr^2h</u></em></h2>
= 22/7 × 100×20
=22/7 × 2000
= 44000/7
= 6285.71square units.
hence, volume of cylinder is 6285.71 square units.
<span>the dimensions are 15 inches long and 12 inches wide</span>
Answer:
1 fifteenth, or 1/15
Step-by-step explanation:
If there are 3 sons multiply the fraction by 3 and then you have 12/15 because 12/15 is equal to 4/5, so the remaining is 3 out of 15, so divide that between the 3 sons and boom, 1/15th per son.
Answer:
5
Step-by-step explanation:
if u add al of these it equals 35 divided by 7 equals 5
