document.write( "Question 883486: A penguin and a seal are housed in the same cage. The cage was unlocked. At 3 PM, the penguin left the cage, heading North at 4 miles per hour. At 3:30 PM, the seal left the cage, heading South at 3 miles per hour. At what time will the penguin and the seal be 37 miles apart? \n" ); document.write( "
Algebra.Com's Answer #533561 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A penguin and a seal are housed in the same cage. The cage was unlocked. At 3 PM, the penguin left the cage, heading North at 4 miles per hour. At 3:30 PM, the seal left the cage, heading South at 3 miles per hour. At what time will the penguin and the seal be 37 miles apart? \n" ); document.write( "------- \n" ); document.write( "Penquin DATA: \n" ); document.write( "rate = 4 mph ; time = x hrs ; distance = 4x miles \n" ); document.write( "------- \n" ); document.write( "Seal DATA: \n" ); document.write( "rate = 3 mph ; time = (x-(1/2))hr ; distance = 3(x-(1/2)) miles \n" ); document.write( "------- \n" ); document.write( "Equation: \n" ); document.write( "dist + dist = 37 miles \n" ); document.write( "4x + 3x - (3/2) = 37 \n" ); document.write( "7x = 38.5 \n" ); document.write( "x = 5.5 hours \n" ); document.write( "---------------------- \n" ); document.write( "Note: Since \"x\" is the time for the penguin, \n" ); document.write( "the answer is 3:00PM + 5.5 hrs = 8:30PM \n" ); document.write( "-------------------------------------------- \n" ); document.write( "My answer choices are \n" ); document.write( "F. 8 PM. G. 8:30 PM H. 9 pm. J. 12 AM. K. 3 am \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------- \n" ); document.write( " |