PLEASE ANSWER
1 answer:
Answer:
6/5 hours
Step-by-step explanation:
<u>GIVEN :-</u>
Lets say ,
- Pump A takes 2 hours to fill the tank alone
- Pump B takes 3 hours to fill the tank alone
<u>TO FIND :-</u>
- Time taken by both pumps to fill the tank when used together
<u>PROCEDURE :-</u>
In 2 hours , Pump A fills the whole tank.
⇒ In 1 hour , Pump A will fill 1/2 part of tank. (By using Unitary method)
In 3 hours , Pump B fills the whole tank.
⇒ In 1 hour , Pump B will fill 1/3 part of tank. (By using Unitary method)
In 1 hour , when both pumps will be used together , they will fill =
(Part of tank filled by A in 1hr) + (Part of tank filled by B in 1hr)
⇒
part of tank
5/6 part of tank will be filled by both the pumps in = 1 hour.
Using unitary method, multiplying both the sides with 6/5 -
⇒ 5/6 × 6/5 part of tank will be filled by both the pumps in = 1 × 6/5 hours
⇒ Total tank (or 1 whole tank) will be filled by both the pumps in = 6/5 hours
∴ Both the pumps will take 6/5 hour to fill the tank , when used together.
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In order to add these fractions we have to make a common denominator.
1/5 can turn into 2/10 Its the same thing. And its easier to solve with.
now lets multiply.
×
Now we add across
2 + 1 = 3
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10 + 10 = 10 ( When adding fractions like these the denominator stays the same)
So your answer is...
Good Luck! :)
Answer:
Standard form of the line with point (4,-8) and slope of 1/4 is
-x + 4 y = -36.
Step-by-step explanation:
The slope of the line equation = 1/4
The point is given as (4,-8).
Now, by POINT SLOPE formula,
The line equation with slope m nad point (x0,y0) is given as:
(y - y0) = m (x -x0)
So, the line equation here is given as
Now, the standard form of line equation is Ax + By = C
Here, 4y = x - 36 ⇒ 4y - x = -36
or, -x + 4y = -36 is the standard form.
Hence,standard form of the line with point (4,-8) and slope of 1/4
is -x + 4y = -36.