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Aleks [24]
3 years ago
11

A man jogs at a speed of 0.96 m/s. His dog waits 2.3 s and then takes off running at a speed of 3.4 m/s to catch the man. How fa

r will they have each traveled when the dog catches up with the man
Mathematics
2 answers:
skad [1K]3 years ago
6 0
When the dog starts running, the man has jogged (0.96 * 2.3 = 2.208) meters.

We can set up an equation to solve for T

2.208 + 0.96T = 3.4T
2.208 = 2.44T
T = 0.904918

You can use either side of the previous equation to evaluate the distance traveled.

2.208 + 0.96 * 0.904918 = 3.076721 meters
3.4 * 0.904918 = 3.076721 meters
Bess [88]3 years ago
5 0

Answer:

The dog and the man meet 3.0767m later.

Step-by-step explanation:

The first thing to know is the speed formula. It is v=\frac{x}{t} , where v is speed, x is distance and t is time. If you find x the formula would be x=v\cdot t

The first step is to obtain the distance equation for the man:

x_{man}=v_{man}\cdot t=0.96\cdot t

For the dog's distance equation, a little detail must be taken into account. The dog takes off running 2.3s after the man did. With that in mind, you must subtract 2.3 from t.

x_{dog}=v_{dog}\cdot (t-2.3)=3.4\cdot (t-2.3)

For finding the point where the dog catches up with the man you must match the equations of each one and then obtain find the t value. The procedure is shown:

x_{man}=x_{dog}

0.96\cdot t=3.4\cdot (t-2.3)

0.96\cdot t=3.4\cdot t - 7.82

2.44\cdot t=7.82

t=\frac{7.82}{2.44}

t=3.2049s

The previous result means that they meet in 3.2049s after the man started running. This value is used in the distance equation of the man.

x_{man}=0.96\cdot t=(0.96)\cdot (3.2049)

x_{man}=3.0767m

Finally, the dog and the man meet 3.0767m later.

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Maitri and Aabhas do a work in 12 hours.
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Answer:

See below ~

Step-by-step explanation:

<u>Given</u>

  • Maitri and Aabhas do a work in 12 hours
  • Aabhas and Kavya do the work in 15 hours
  • Kavya and Maitri do the work in 20 hours

<u>Solving</u>

  • Take Maitri, Aabhas, and Kavya to be x, y, z respectively
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  • <u>y + z = 15</u> (2)
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<u>Take Equation 1 and rewrite it so that it is equal to x.</u>

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<u>Take Equation 2 and rewrite it so that it is equal to z.</u>

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<u>Now, substitute these values in Equation 3.</u>

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<u></u>

<u>Substitute the value of y in Equation 1.</u>

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<u>Substitute the value of y in Equation 2.</u>

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<u></u>

<u>Add the values of x, y, and z together.</u>

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  • 8.5 + 3.5 + 11.5
  • 12 + 11.5
  • <u>23.5 hours [together]</u>

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