document.write( "Question 804349: The speed of a car is 8mph faster than the speed of a bus the car travels 270 miles in the same time it takes the bus to travel 234miles find the speed of the car and the bus. \n" ); document.write( "

Algebra.Com's Answer #484762 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The speed of a car is 8mph faster than the speed of a bus
\n" ); document.write( " the car travels 270 miles in the same time it takes the bus to travel 234miles
\n" ); document.write( " find the speed of the car and the bus.
\n" ); document.write( ":
\n" ); document.write( "Let s = speed of the bus
\n" ); document.write( "then
\n" ); document.write( "(s+8) = speed of the car
\n" ); document.write( ":
\n" ); document.write( "Write a time equation; time = dist/speed
\n" ); document.write( ":
\n" ); document.write( "car time = bus time
\n" ); document.write( " $\"270%2F%28%28s%2B8%29%29\"$ = $\"234%2Fs\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "270s = 324(s+8)
\n" ); document.write( "270s = 234s + 1872
\n" ); document.write( "270s - 234s = 1872
\n" ); document.write( "36s = 1872
\n" ); document.write( "s = 1872/36
\n" ); document.write( "s = 52 mph is the bus
\n" ); document.write( "then, obviously:
\n" ); document.write( "52 + 8 = 60 mph is the car
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this, see if the times are the same
\n" ); document.write( "270/60 = 4.5 hrs
\n" ); document.write( "324/52 = 4.5 hrs \n" ); document.write( "

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