americasmiller
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Mike can build a go cart in 30 days, Jed can build one in 20 days and Erick in 60 days. If all of them share the work, how quickly can they build a go cart?

I know the answer is 10, but how do I get to that?

Respuesta :

tramserran

Answer: 10 days

Step-by-step explanation:

Mike: [tex]\frac{x}{30}[/tex]

Jed: [tex]\frac{x}{20}[/tex]

Erick: [tex]\frac{x}{60}[/tex]

Together: [tex]\frac{x}{30}[/tex] + [tex]\frac{x}{20}[/tex] + [tex]\frac{x}{60}[/tex] = 1

60[tex](\frac{x}{30}[/tex] + [tex]\frac{x}{20}[/tex] + [tex]\frac{x}{60}[/tex] = 1)

2x + 3x + x = 60

             6x = 60

               x = 10

Answer:

Together they build a cart in 10 days.

Step-by-step explanation:

Given : Mike can build a go cart in 30 days, Jed can build one in 20 days and Erick in 60 days. If all of them share the work.

To find : How quickly can they build a go cart?

Solution :

Let the work done be in x days.

and total work done is 1.

Then, Mike can build a go cart in 30 days

i.e. Mike done his work in [tex]\frac{x}{30}[/tex]

Jed can build one in 20 days

i.e. Jed done his work in [tex]\frac{x}{20}[/tex]

Erick can build one in 60 days

i.e. Erick done his work in [tex]\frac{x}{60}[/tex]

If they work together work done is 1.

i.e.  [tex]\frac{x}{30}+\frac{x}{20}+\frac{x}{60}=1[/tex]

Taking LCM,

[tex]\frac{2x+3x+x}{60}=1[/tex]

Cross multiply,

[tex]6x=60[/tex]

[tex]x=\frac{60}{6}[/tex]

[tex]x=10[/tex]

Therefore, Together they build a cart in 10 days.

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