Question 1203335: A bicycle is traveling at 22 miles per hour. How many feet will it cover in 35 seconds? Round your answer to the nearest tenth of a foot
Found 5 solutions by ikleyn, josgarithmetic, math_tutor2020, Edwin McCravy, Alan3354:
Answer by ikleyn(52786)   (Show Source):
You can put this solution on YOUR website! .
A bicycle is traveling at 22 miles per hour. How many feet will it cover in 35 seconds?
Round your answer to the nearest tenth of a foot
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1 mile = 5280 feet.
To answer your question, first multiply 5280 feet by 22 and divide by 3600, the number of seconds in an hour.
You will get the number of feet covered in 1 second.
To get the answer, multiply it by 35 seconds. You may combine everything in one line formula
ANSWER =  .
Use your calculator and round as requested.
Happy calculations (!)
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Since after my post, @josgaritmetic came with his answer of 1064.8 feet,
I must refute it as incorrect.
The correct answer is 1129.3 feet.
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Looking at the super-bulky solutions by other tutors to this super-simple problem,
I want to explain to the visitor that the educational meaning of this problem
is to develop common sense - not to develop this bulky technique.
To learn the subject on conversion units, look into the lessons
- Units conversion examples
- Converting feet to meters, inches to centimeters, miles to kilometers and vice versa
- Converting speed units: miles per hour to kilometers per hour and vice versa
- Converting measures of volume: cubic feet and cubic meters
- Converting liquid volume measures: liters, gallons, and barrels
in this site.
Learn from there all you need to know - once and forever.
Consider these lessons as your textbook, handbook, guidebook, tutorials
and free of charge home teacher, who is always and everywhere with you - to help and to teach.
Answer by josgarithmetic(39617)  (Show Source):
Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!
Answer: 1129.3 feet (approximate)
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Explanation
I'll go over two methods.
Method 1
We're given a speed in miles per hour (mph), and we want to determine the number of feet traveled in 35 seconds.
Let's convert from miles per hour to feet per second.
I'll use the railroad track conversion method.
We have 22 miles over 1 hour in the first column
Each subsequent column is one of the equivalences below
5280 ft = 1 mile
1 hour = 60 min
1 min = 60 sec
Take note how I placed each unit so we have "miles", "hours", and "minutes" cancel out.
The goal is to be left with "feet" up top and "seconds" down below.
Multiply straight across the numerators to get: 22*5280*1*1 = 116,160
Do the same for the denominators: 1*1*60*60 = 3600
Divide the results: 116160/3600 = 32.2666666666667 approximately
Therefore, 22 mph = 32.2666666666667 feet per second approximately
Similar conversion questions
https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1202485.html
and
https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1200497.html
Then,
distance = rate*time
distance = (32.2666666666667 feet per sec)*(35 sec)
distance = 1129.33333333333 feet approximately
distance = 1129.3 feet approximately when rounding to the nearest tenth of a foot.
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Method 2
1 hour = 60 min
1 min = 60 seconds
1 hour = 60*60 = 3600 seconds
1 second = 1/3600 of an hour
35 seconds = 35/3600 of an hour = 7/720 of an hour
distance = rate*time
distance = (22 mph)*(7/720 of an hour)
distance = 0.21388888888889 miles approximately
Then we convert from miles to feet.
1 mile = 5280 feet
0.21388888888889*1 mile = 0.21388888888889*5280 feet
0.21388888888889 mile = 1129.33333333333 feet approximately
0.21388888888889 mile = 1129.3 feet approximately
Whichever method you use, be very careful about your units.
Answer by Edwin McCravy(20056)  (Show Source):
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! A bicycle is traveling at 22 miles per hour. How many feet will it cover in 35 seconds? Round your answer to the nearest tenth of a foot
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From memory, 15 mi/hr = 22 ft/sec
--> 1 mi/hr = 22/15 ft/sec
22 mi/hr = 484/15 ft/set
d = 35*484/15 feet
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No need for a Master's Thesis
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