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Oliga [24]
3 years ago
5

One hose can fill a goldfish pond in 24 ​minutes, and two hoses can fill the same pond in 15 minutes. find how long it takes the

second hose alone to fill the pond.
Mathematics
1 answer:
Arisa [49]3 years ago
5 0
2 hoses together:
15 mins = 1 pond
1 min = 1/15 pond

1st hose:
24 mins = 1 pond 
1 min = 1/24 pond

2nd hose:
1 min = 1/15 - 1/24 = 1/40 pond

So 1/40 of the pond = 1 min
   40/40 of the pond = 1 x 40 mins
          1 whole pond =  40 mins

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Answer: it will take 40 mins for the 2nd hose to fill up the pond alone.
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The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x
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Answer:

The equation x = y-8

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Step-by-step explanation:

<u>Explanation</u>:-

<u>Step(l)</u>:-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given  data        x y = 240 …(l)

Given data the first number is 8 less than the second number.

                       x = y-8...(ll)

Substitute (ll) in equation (l) , we get

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                           y^{2} -8y -240 =0

                            y^{2} -20y+12y -240 =0

                           y(y -20)+12(y -20) =0

                           (y +12)(y -20) =0

                          y = -12 and y = 20

              Y= -12 is not satisfied

              we can choose y = 20

<u>Step(ll):</u>-

Given data x =y-8

  substitute value y = 20 in x = y -8

                                             x = 20-8 = 12

<u>Final answer</u>:-

The first number x = 12 and second number y =20

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