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leonid [27]
3 years ago
11

Working alone, Ryan can dig a 10 ft by 10 ft hole in 5 hours Castel can dig the same hole in 6 hours how long would it take them

if they worked together
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer:

The time taken by both boys to complete work = 2.73 hours

Step-by-step explanation:

Time taken by rayan to dig hole  T_{1} = 5 hours

Time taken by castel to dig hole T_{2} = 6 hours

Now the time taken by both persons working together  

T = \frac{T_{1} T_{2}  }{T_{1} + T_{2}}

Put all the values in above formula we get

T = \frac{ 30 }{6 + 5}

T = \frac{30}{11}

T = 2.73 hours

Therefore the time taken by both boys to complete work = 2.73 hours

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Step-by-step explanation:

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iren [92.7K]

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Step-by-step explanation:

The equation of line in the slope intercept form is give as :

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slope = 3

Using the formula

y - y_{1} = m (x - x_{1} )

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Rewrite the equation by completing the squares x^2-x-20
yuradex [85]

Answer:  x = ¹/₂ ± √⁸¹

                     ------------

                            2

Step-by-step explanation:

First write out the equation

x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

x² - x    =  20,

We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

x² - ( ¹/₂ )²       = 20 + ¹/₄

( x - ¹/₂ )²       = 20  + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )²          =  ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

x - ¹/₂               =  √⁸¹/₄

x - ¹/₂               =     √⁸¹/₂

Therefore,

                    x = ¹/₂ ± √⁸¹

                          -----------

                               2

3 0
3 years ago
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