document.write( "Question 95191: Chelsea left the White House and traveled towards the capital at an average speed of 34 km/h. Jasmine left at the same time and traveled in the opposite direction with an avg speed of 65 km/h. Find the number of hours Jasmine needs to travel before they are 59.4 km apart.
\n" ); document.write( "I got T = .91 hours Is this correct? \n" ); document.write( "
Algebra.Com's Answer #69265 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
Let's see if your answer is correct. In 0.91 hours how far does Chelsea go if she is driving
\n" ); document.write( "at 34 km/hr. Use the formula D = r*T where r is 34 km/hr and T is 0.91. The distance
\n" ); document.write( "Chelsea travels is D = r*T = 34*0.91 = 30.94 km.
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\n" ); document.write( "Meanwhile Jasmine is going in the opposite direction at a rate of 65 km/hr. So in 0.91 hrs
\n" ); document.write( "she goes D = r*T = 65*0.91 = 59.15 km.
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\n" ); document.write( "So in 0.91 hours the distance between the two drivers is the sum of the distances that each
\n" ); document.write( "has traveled. They are separated by 30.94 + 59.15 = 90.09 km. Something appears to be wrong
\n" ); document.write( "with your solution because they are separated by 90.09 km, and they are only supposed
\n" ); document.write( "to be separated by 59.4 km.
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\n" ); document.write( "Let's work the problem.
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\n" ); document.write( "Since we are trying to find the time, let's use the distance equation for each of the
\n" ); document.write( "two drivers.
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\n" ); document.write( "In T hours the distance that Chelsea goes is given by D = 34 * T
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\n" ); document.write( "And in the same T hours the distance that Jasmine goes is given by D = 65*T
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\n" ); document.write( "But if we add these two distances they are supposed to total 59.4 km. So if we add the
\n" ); document.write( "two right sides of these equations for distance the sum should equal 59.4 km.
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\n" ); document.write( "When we add the two right sides and set the sum equal to 59.4 we get:
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\n" ); document.write( "34*T + 65*T = 59.4
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\n" ); document.write( "If we add the two terms on the left side we get 34T + 65T = 99T and the equation then becomes:
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\n" ); document.write( "99T = 59.4
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\n" ); document.write( "Now we can solve for T by dividing both sides by 99 to get:
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\n" ); document.write( "T = 59.4/99 = 0.6 hours
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\n" ); document.write( "We have an answer of T = 0.6 hours
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\n" ); document.write( "Let's check it.
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\n" ); document.write( "In 0.6 hours at 34 km per hour Chelsea goes 34*0.6 = 20.4 km
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\n" ); document.write( "And in 0.6 hours at 65 km per hour Jasmine goes 65*0.6 = 39.0 km
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\n" ); document.write( "If you add these two distances together you get a total of 59.4 km, just like the problem
\n" ); document.write( "said it should be.
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\n" ); document.write( "Hope this helps you to understand the problem a little better and that you are able to
\n" ); document.write( "find your error. \n" ); document.write( "
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