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lbvjy [14]
3 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]3 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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Given that (in picture)...
GuDViN [60]
<h3>Answer:  a = -3 and b = 5</h3>

=================================================

Work Shown:

Multiply top and bottom by \sqrt{2} to rationalize the denominator

\frac{10-\sqrt{18}}{\sqrt{2}}\\\\\frac{\sqrt{2}(10-\sqrt{18})}{\sqrt{2}*\sqrt{2}}\\\\\frac{\sqrt{2}*10-\sqrt{2}*\sqrt{18}}{\sqrt{2*2}}\\\\\frac{\sqrt{2}*10-\sqrt{2*18}}{\sqrt{4}}\\\\\frac{10\sqrt{2}-\sqrt{36}}{2}\\\\\frac{10\sqrt{2}-6}{2}\\\\\frac{-6+10\sqrt{2}}{2}\\\\\frac{2(-3+5\sqrt{2})}{2}\\\\-3+5\sqrt{2}\\\\

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