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BabaBlast [244]
2 years ago
9

Pam and Tina went for a 12 mile hike (round trip) to the top of a mountain. It took 5 hours. They were able to hike 1 mile per h

our faster on the way down. How fast did they hike going up the mountain
Mathematics
1 answer:
snow_tiger [21]2 years ago
6 0

Answer:

  2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

If s is the speed going up the mountain, then s+1 is the speed coming down. The total trip time for 6 miles up and 6 miles down is ...

  6/s +6/(s+1) = 5

  6(s+1) +6s = 5(s)(s+1)

  5s^2 -7x -6 = 0 . . . . subtract the left side, simplify to standard form

  (s -2)(5s +3) = 0 . . . . factor

  s = 2 or -3/5 . . . . values that make the factors 0

Their speed was 2 miles per hour going up the mountain.

__

<em>Check</em>

It took 6/2 = 3 hours to go up the mountain, and 6/(2+1) = 2 hours to come down, for a total of 5 hours.

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Your round-trip drive to work is 4310 4 3 10 miles. How many miles do you drive to and from work in 3 3 days? CLEAR CHECK
luda_lava [24]

Answer:

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3 years ago
Bailey's rectangular dog pen for his Irish Setter must have an area of 400 square feet. Also, the length must be 20 feet longer
Iteru [2.4K]
Hello.


400=(x+20)x is the equation or 400=x^2+20x 


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8 0
3 years ago
Latoya drives 8 miles to work in 13 minutes. What is her average rate, in miles per hour, when rounded to the nearest wholes num
Mama L [17]

Answer:

37 miles per hour

Step-by-step explanation:

To find the average rate (average speed) of Latoya in miles per hour, you would divide the distance traveled (in miles) by the time taken to travel (in hours).

So we know that Latoya traveled 8 miles in 13 minutes. We cannot divide 8 by 13, because 13 is in minutes, not hours. We must convert 13 minutes to hours before dividing.

There are 60 minutes in one hour, so to covert minutes into hours, we would divide the minutes (13) by 60. Doing this would give you 13/60. You cannot simplify the fraction 13/60, because 13 is a prime number. It would be best to just leave it as it is for now. So Latoya traveled for 13/60 hours.

Now, to find her average rate in miles per hour, you divide the distance traveled in miles (8 miles) by the time it took to travel in hours (13/60):

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Remember, a ÷ b/c = a × c/b. Using this:

8 ÷ 13/60 = 8 × 60/13 = 480/13 ≈ 37 rounded to the nearest whole number.

Latoya had an average rate of about 37 miles per hour.

I hope this helps. :)

6 0
3 years ago
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