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Volgvan
3 years ago
5

I need help wit statistics

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0

Answer:

??

Step-by-step explanation:

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Starting at home Nadia traveled uphill to the grocery store for 30 minutes at just 4mph. She then traveled back home along the s
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Answer:

6 mph

Step-by-step explanation:

Here is the complete question: Starting at home Nadia traveled uphill to the grocery store for 30 minutes at just 4mph. She then traveled back home along the same path downhill at a speed of 12 mph. What is her average speed for the entire trip from home to the grocery store and back?

Given: Time taken to travel uphill to the grocery store is 30 minutes.

           Speed of travelling uphill to the grocery store is 4 mph.

           Speed of travelling downhil to the home is 12mph.

First converting the unit if time given:

Time taken to travel uphill to the grocery store= \frac{30}{60} = \frac{1}{2}

We know, Distance= speed\times time

∴ Distance of home to grocery store= 4\ mph\times \frac{1}{2} \ h= 2\ miles

Now, finding the time taken to travel back home.

Time= \frac{2}{12} = \frac{1}{6} \ h

Next,

Total distance travel by Nadia= 2\ miles+2\ miles = 4\ miles

Total time taken travel uphil and downhill= \frac{1}{2} +\frac{1}{6}

taking LCD

∴ Total time taken travel uphil and downhill= \frac{1\times 3+ 1\times 1}{6} = \frac{4}{6}

Total time taken travel uphil and downhill= \frac{2}{3} \ h

Average speed of entire trip of Nadia= \frac{4}{\frac{2}{3} }

Multiplying the inverse.

∴ Average speed of entire trip of Nadia= 4\times \frac{3}{2} = 2\times 3

Hence, Average speed of entire trip of Nadia is 6mph.

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