SOLUTION: A family goes on vacation to a water park. During the drive to the water park the weather caused the family to average 44 miles per hours. After their vacation the weather improved

Question 1144165: A family goes on vacation to a water park. During the drive to the water park the weather caused the family to average 44 miles per hours. After their vacation the weather improved, so they could average 80 miles per hour on the return trip. If the distance each way was equal, and the entire time driving was 6.2 hours, find the distance one way to the water park.
Found 4 solutions by josgarithmetic, ikleyn, greenestamps, Alan3354:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
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During the drive to the water park the weather caused the family to average 44 miles per hours. After their vacation the weather improved, so they could average 80 miles per hour on the return trip. If the distance each way was equal, and the entire time driving was 6.2 hours, find the distance one way to the water park.
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During the drive to the water park the weather caused the family to average G miles per hours. After their vacation the weather improved, so they could average R miles per hour on the return trip. If the distance each way was equal, and the entire time driving was T hours, find the distance one way to the water park.
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SPEED TIME DISTANCE GOING G d/G d RETURNING R d/R d TOTAL T

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Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Let d be the distance under the question, in miles. Then the time moving TO the water park was hours. The time moving BACK from the water park was hours. The total time was 6.2 hours, which gives you this "time" equation + = 6.2 hours. To solve it, multiply both sides by 880. You will get 20d + 11d = 6.2*880, 31d = 62*88 d = = 2*88 = 176 miles. ANSWER CHECK. + = 4 + 2.2 = 6.2 hours. ! Correct !

Solved.

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Using "time" equation is the STANDARD method of solving such problems.
From this lesson, learn on how to write, how to use and how to solve a "time" equation.

To see many other similar solved problems, look into the lessons
    - Had a car move faster it would arrive sooner
    - How far do you live from school?
    - Earthquake waves
    - Time equation: HOW TO use, HOW TO write and HOW TO solve it
in this site.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

The ratio of the two speeds is 80:44 = 20:11, and the distances are the same; therefore, the ratio of the times spent at the two speeds is 11:20. So

let 11x = time spent at 80mph
let 20x = time spent at 44mph

The total driving time was 6.2 hours:

The driving time at 80mph was 11x = 2.2 hours, so the distance was 80*2.2 = 176 miles.

or...

The driving time at 44mph was 20x = 4 hours, so the distance was 44*4 = 176 miles.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A family goes on vacation to a water park. During the drive to the water park the weather caused the family to average 44 miles per hours. After their vacation the weather improved, so they could average 80 miles per hour on the return trip. If the distance each way was equal, and the entire time driving was 6.2 hours, find the distance one way to the water park.
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The avg speed of the round trip is 2*44*80/(44+80)
= 7040/124 = 1760/31 mi/hr
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d of the RT = (1760/31)*6.2 = 352 miles
---> 176 miles one way
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It's not a Master's Thesis

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