document.write( "Question 1190053: Sarah wants to arrive at her friend's wedding at 3:00 PM. The distance from Sarah's house to the wedding is 90 miles. Based on usual traffic patterns, Sarah predicts she can drive the first 20 miles at 60 miles per hour, the next 5 miles at 30 miles per hour, and the remainder of the drive at 65 miles per hour.\r
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document.write( "(a)How many minutes will it take Sarah to drive the first 20 miles?
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document.write( "(b)How many minutes will it take Sarah to drive the next 5 miles?
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document.write( "(c)How many hours will it take Sarah to drive the rest of the trip?
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document.write( "(d)What time should Sarah leave her house? (Give your answer using standard hour:minute clock format.)
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Algebra.Com's Answer #821614 by math_tutor2020(3816)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Part (a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "distance = rate*time \n" ); document.write( "time = distance/rate \n" ); document.write( "time = (20 miles)/(60 mph) \n" ); document.write( "time = 1/3 hour \n" ); document.write( "time = 20 minutes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note: to convert from hours to minutes, multiply by 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------ \n" ); document.write( "Part (b)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "time = distance/rate \n" ); document.write( "time = (5 miles)/(30 mph) \n" ); document.write( "time = 1/6 hour \n" ); document.write( "time = 10 minutes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------ \n" ); document.write( "Part (c)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "time = distance/rate \n" ); document.write( "time = (90-20-5 miles)/(65 mph) \n" ); document.write( "time = (65 miles)/(65 mph) \n" ); document.write( "time = 1 hour\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------ \n" ); document.write( "Part (d)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add up the durations from each previous part above \n" ); document.write( "20 min + 10 min + 1 hour = 1 hour, 30 min\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If she wants to arrive at 3:00 PM, then she needs to leave her house at 1:30 PM. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is assuming that everything goes according to plan. Realistically, Sarah should have a bit of a buffer of say an extra 10 or 20 minutes (to account for possible bad traffic, construction, bad weather, etc). \n" ); document.write( " \n" ); document.write( " |