document.write( "Question 1046965: Jack wants to derive a formula he could use to calculate his total journey time. He decides to use 7 to represent total time, in hours t to represent the time he spends actually driving, in hours b to represent the time for breaks and rests during his journey, in hours d to represent the total distance travelled, in miles s to represent the average speed in miles per hour, whilst driving, for the whole journey He knows that t is equal to d, the total distance in miles, divided by s, the average speed whilst driving, for his journey. Derive a formula to calculate Tin terms of b, d and s \n" ); document.write( "
Algebra.Com's Answer #662573 by Theo(13342) You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Jack wants to derive a formula he could use to calculate his total journey time. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "He decides to use T to represent total time, t to represent the time he spends actually driving, b to represent the time for breaks and rests, d to represent the total distance traveled, s to represent the average speed in miles per hour.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T, t, and b, are measured in hours. \n" ); document.write( "d is measured in miles. \n" ); document.write( "s is measured in miles per hour.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "He knows that t is equal to d divided by s. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Derive a formula to calculate T in terms of b, d and s.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T = t + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means that the total time is equal to the time spent driving plus the time spent on breaks.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since rate * time = distance, you get s * t = d. \n" ); document.write( "solve for t to get t = d/s.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "formula of T = t + b becomes T = d/s + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |