document.write( "Question 1031941: Gilda walks to the train station. If she walks at the rate of 3 mph, she misses her train by 7 minutes. However, if she walks at the rate of 4 mph, she reaches the station 5 minutes before the arrival of the train. Find the distance Gilda walks to the station. David knew he made a mistake when he calculated that Gilda walks 123 miles to the station.
\n" ); document.write( "Read through David's calculations:
\n" ); document.write( "Using d = rt, the distance is the same, but the rate and time are different.
\n" ); document.write( "If Gilda misses the train, it means the time t needs 7 more minutes so d = 3(t + 7).
\n" ); document.write( "If she gets to the station 5 minutes early means the time t can be 5 minutes less so d = 4(t - 5).
\n" ); document.write( "3(t + 7) = 4(t - 5)
\n" ); document.write( "3t + 21 = 4t - 20
\n" ); document.write( "t = 41
\n" ); document.write( "d = rt, so d = 3(41) = 123
\n" ); document.write( "Find David's mistake in his calculations. Explain his mistake and include the correct calculations and solutions in your answer.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #646645 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Gilda walks to the train station. If she walks at the rate of 3 mph, she misses her train by 7 minutes. However, if she walks at the rate of 4 mph, she reaches the station 5 minutes before the arrival of the train. Find the distance Gilda walks to the station. David knew he made a mistake when he calculated that Gilda walks 123 miles to the station.
\n" ); document.write( "Read through David's calculations:
\n" ); document.write( "Using d = rt, the distance is the same, but the rate and time are different.
\n" ); document.write( "If Gilda misses the train, it means the time t needs 7 more minutes so d = 3(t + 7).
\n" ); document.write( "If she gets to the station 5 minutes early means the time t can be 5 minutes less so d = 4(t - 5).
\n" ); document.write( "3(t + 7) = 4(t - 5)
\n" ); document.write( "3t + 21 = 4t - 20
\n" ); document.write( "t = 41
\n" ); document.write( "d = rt, so d = 3(41) = 123
\n" ); document.write( "Find David's mistake in his calculations. Explain his mistake and include the correct calculations and solutions in your answer.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "DUPLICATE PROBLEM. See # 1029838
\n" ); document.write( "
I worked it out then and I did get distance to be: 2.4 km also.
\n" ); document.write( "Why do some of you keep reposting problems that have already been answered? Are the solutions not enough?
\n" ); document.write( "By the way, itw's TOTALLY UNNECESSARY for David to calculate time. Time is not being sought, and so, should be EXCLUDED from the solution.
\n" ); document.write( "A TIME equation should be formed though. \n" ); document.write( "
\n" );