document.write( "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
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Algebra.Com's Answer #838810 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: 1129.3 feet (approximate)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=================================================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'll go over two methods. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Method 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We're given a speed in miles per hour (mph), and we want to determine the number of feet traveled in 35 seconds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's convert from miles per hour to feet per second.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'll use the railroad track conversion method. \n" ); document.write( " \n" ); document.write( "We have 22 miles over 1 hour in the first column \n" ); document.write( "Each subsequent column is one of the equivalences below \n" ); document.write( "5280 ft = 1 mile \n" ); document.write( "1 hour = 60 min \n" ); document.write( "1 min = 60 sec \n" ); document.write( "Take note how I placed each unit so we have \"miles\", \"hours\", and \"minutes\" cancel out. \n" ); document.write( "The goal is to be left with \"feet\" up top and \"seconds\" down below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply straight across the numerators to get: 22*5280*1*1 = 116,160 \n" ); document.write( "Do the same for the denominators: 1*1*60*60 = 3600 \n" ); document.write( "Divide the results: 116160/3600 = 32.2666666666667 approximately\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, 22 mph = 32.2666666666667 feet per second approximately\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Similar conversion questions \n" ); document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1202485.html \n" ); document.write( "and \n" ); document.write( "https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1200497.html\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then, \n" ); document.write( "distance = rate*time \n" ); document.write( "distance = (32.2666666666667 feet per sec)*(35 sec) \n" ); document.write( "distance = 1129.33333333333 feet approximately \n" ); document.write( "distance = 1129.3 feet approximately when rounding to the nearest tenth of a foot.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Method 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 hour = 60 min \n" ); document.write( "1 min = 60 seconds \n" ); document.write( "1 hour = 60*60 = 3600 seconds \n" ); document.write( "1 second = 1/3600 of an hour \n" ); document.write( "35 seconds = 35/3600 of an hour = 7/720 of an hour\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "distance = rate*time \n" ); document.write( "distance = (22 mph)*(7/720 of an hour) \n" ); document.write( "distance = 0.21388888888889 miles approximately\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then we convert from miles to feet. \n" ); document.write( "1 mile = 5280 feet \n" ); document.write( "0.21388888888889*1 mile = 0.21388888888889*5280 feet \n" ); document.write( "0.21388888888889 mile = 1129.33333333333 feet approximately \n" ); document.write( "0.21388888888889 mile = 1129.3 feet approximately\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Whichever method you use, be very careful about your units. \n" ); document.write( " \n" ); document.write( " |