document.write( "Question 358081: A commuter plan travels 90 miles per hour faster than a passenger bus. The commuter plane travels 525 miles in the same time it takes the bus to travel 210 miles. Find the speed of each. Thank You \n" ); document.write( "
Algebra.Com's Answer #255618 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! The distance formula D = rt can be written as t = D/r when looking for time where D = distance, r = rate or speed and t = time in hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We are searching for time.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(total distance for commuter plan)/(x + 90) = (total distance for bus)/x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, (x + 90) tells us that the commuter plan is 90 mph faster than the bus' rate represented here by x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The final equation looks like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "525/(x + 90) = 210/x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "After we cross-multiply, x = 60.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I have not found the answer. I simply found the value of x. I need to find the speed of each.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, x = bus speed or 60 mph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The commuter plan's speed is 60 + 90 or 150 mph.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |