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beks73 [17]
2 years ago
5

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 ​hours, while the outlet pipe can empty it

in 10 hours. How long will it take to fill the vat if both pipes are left​ open?
Mathematics
1 answer:
leva [86]2 years ago
5 0

The time it will take to fill the vat if both pipes are left open is = 4.3 hours

<h3>Calculation of time taken to fill vat</h3>

The number of pipes a vat has = 2

The time it takes the inlet pipe to fill the vat = 3hrs

The time it takes the outlet pipe to empty the vat= 10hrs

Therefore, the time it will take to fill the vat if both pipes are left open is;

1/t = 1/3-1/10

1/t = 7/30

Make t the subject of formula,

t = 30/7

t= 4.3 hours

Learn more about hours here:

brainly.com/question/291457

#SPJ1

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Butoxors [25]
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4 0
3 years ago
Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756
horsena [70]

Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

 Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

 p - w = speed against wind

We have two conditions:

(1)  756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

                                                          (4)   756 = 1.5p + 1.5 w  

Multiply Equation (3) by 3                (5) 2268 = 6p  -  6w

Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

8 0
3 years ago
jack buys a pool with 400 gallons , and it take 8 hours to fill. How many gallons were poured per hour?​
IrinaK [193]

Answer:

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Step-by-step explanation:

400/8 = 50

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Diameter= 2 times the radius

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I really don’t know I’m sorry I just need to answer a question to answer mine
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