document.write( "Question 282205: BETH WAS REQUIRED TO MAKE A CROSS-COUNTRY FLIGHT IN TRAINING FOR HER PILOT LICENSE . WHEN SHE FLEW FROM HER HOME AIRPORT A STEADY 30 MILES PER HOUR WIND WAS BEHIND HER AND THE TRIP TOOK 5 HOURS. WHEN SHE RETURED AGAINST THE WIND THE FLIGHT TOOK 7 HOURS. FIND THE PLANES SPEED IN STILL AIR AND THE DISTANCE TRAVELED EACH WAY \n" ); document.write( "
Algebra.Com's Answer #204949 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! BETH WAS REQUIRED TO MAKE A CROSS-COUNTRY FLIGHT IN TRAINING FOR HER PILOT LICENSE . WHEN SHE FLEW FROM HER HOME AIRPORT A STEADY 30 MILES PER HOUR WIND WAS BEHIND HER AND THE TRIP TOOK 5 HOURS. WHEN SHE RETURED AGAINST THE WIND THE FLIGHT TOOK 7 HOURS. FIND THE PLANES SPEED IN STILL AIR AND THE DISTANCE TRAVELED EACH WAY \n" ); document.write( "------------------ \n" ); document.write( "Assuming the wind was the same on the way back: \n" ); document.write( "Her groundspeed going was a + 30 (a = airspeed) \n" ); document.write( "Returning, it was a - 30 \n" ); document.write( "d = rt \n" ); document.write( "d = (a+30)*5 = (a-30)*7 \n" ); document.write( "5a + 150 = 7a - 210 \n" ); document.write( "-2a = -360 \n" ); document.write( "a = 180 mph \n" ); document.write( "d = 5*210 = 1050 miles \n" ); document.write( "d = 7*150 = 1050 miles \n" ); document.write( "----------------------- \n" ); document.write( "Beth would know that there is no \"plane's speed in still air\", \n" ); document.write( "it's called airspeed. \n" ); document.write( " \n" ); document.write( " |