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lbvjy [14]
2 years ago
15

Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hors later and travele

d in the opposite direction with an average speed of 70 km/h. Find the number of hours gabriella needs to travel before they are 410 km apart.
Mathematics
1 answer:
mezya [45]2 years ago
5 0

Answer:

<em>3 hours</em>

Step-by-step explanation:

Given that:

Average speed of Willie = 40 km/h

After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.

After some time, they are 410 km apart.

To find:

Number of hours = ?

Solution:

For the first two hours, Willie traveled alone.

Formula for distance:

Distance = Speed \times Time

Distance traveled in two hours by Willie = 40 \times 2 = 80\ km

Now, they both travel in opposite directions.

So the relative speed is = 40 + 70 = 110 km/h

The distance traveled by them = 410 - 80 = 330 km

Time\ taken = \dfrac{330}{110} = 3\ hours

Therefore, the time taken is <em>3 hours.</em>

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+

−

2

−

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x

−

4

|

=

−

2

x

+

5

Step 2: Divide both sides by -1.

−

|

x

−

4

|

−

1

=

−

2

x

+

5

−

1

|

x

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|

=

2

x

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Step 3: Solve Absolute Value.

|

x

−

4

|

=

2

x

−

5

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x

−

4

=

2

x

−

5

or

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−

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−

(

2

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)

x

−

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=

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x

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x

−

5

−

2

x

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x

−

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=

−

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−

x

−

4

+

4

=

−

5

+

4

(Add 4 to both sides)

−

x

=

−

1

−

x

−

1

=

−

1

−

1

(Divide both sides by -1)

x

=

1

x

−

4

=

−

(

2

x

−

5

)

(Possibility 2)

x

−

4

=

−

2

x

+

5

(Simplify both sides of the equation)

x

−

4

+

2

x

=

−

2

x

+

5

+

2

x

(Add 2x to both sides)

3

x

−

4

=

5

3

x

−

4

+

4

=

5

+

4

(Add 4 to both sides)

3

x

=

9

3

x

3

=

9

3

(Divide both sides by 3)

x

=

3

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x

=

1

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x

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3

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