Let a, b, and c be the times each pump will fill the tank when working alone.
Therefore, in 1 hour;
1/a +1/b = 1/(6/5) = 5/6 ---- (1)
1/a+1/c = 1/(3/2) = 2/3 ---- (2)
1/b+1/c = 1/(2) = 1/2 ---- (3)
From equation (1)
1/a = 5/6-1/b
Substituting for 1/a in eqn (2)
5/6-1/b+1/c = 2/3
-1/b +1/c = -1/6 => 1/c = 1/b - 1/6 --- (4)
Using eqn (4) in eqn (3)
1/b+1/b-1/6 = 1/2
2/b-1/6 = 1/2
2/b =1/2+1/6 = 2/3
1/b = 1/3
Then,
1/c = 1/3 - 1/6 = 1/6
1/a = 5/6 - 1/3 = 1/2
This means, in 1 hour and with all the pumps working together, the tank will be filled to;
1/a+1/b+1/c = 1/2+1/3+1/6 = 1 (filled fully).
Therefore, it will take 1 hour to fill the tank when all pumps are working together.
Answer:
-6 and 1
Step-by-step explanation:
If you separate the different powers (^), you have -m^3 - 5m^3 and -m^2 + 2m^2.
-m^3 - 5m^3 = -6m^3
-m^2 + 2m^2 = m^2 or 1m^2
X/3+7
co-efficient=1/3
how?
x/3 is also the same as x(1/3).
Answer:
Step-by-step explanation:
Given that in a triangle ABC, AB = 28, BC = 24 and angle C =91,
We have to find measure of angle B.
Since three measurements are given, we can solve the triangle easily
Use the sine formula for triangles.
Since sum of 3 angles is 180, we calculate B easily
Angle B = 180-(A+C)
= 180-(91+58.98)
=30.02
