document.write( "Question 1164834: A car took 5 hours to travel from town A to town B. A bus took 9 hrs to travel the same route. both the car and bus started at the same time. if the speed of the car was 90km/h, how much faster did the bus need to travel in order to reach town B 1hr and 36 min earlier than the expected arrival time. if it could only increase it's speed after 3/5 of the journey? \n" ); document.write( "
Algebra.Com's Answer #789346 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "A car took 5 hours to travel from town A to town B. A bus took 9 hrs to travel the same route. both the car and bus started at the same time. if the speed of the car was 90km/h, how much faster did the bus need to travel in order to reach town B 1hr and 36 min earlier than the expected arrival time. if it could only increase it's speed after 3/5 of the journey?
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Since car takes 5 hours to reach B, @ 90 km/h, distance from A to B = 5(90) = 450 km
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Since bus takes 5 hours to reach B, a distance of 450 km, the bus' speed = \"matrix%281%2C4%2C+450%2F9%2C+%22=%22%2C+50%2C+%22km%2Fh%22%29\"
\n" ); document.write( "Travelling \"3%2F5\" of the distance, the bus must travel \"matrix%281%2C6%2C+3%2F5%2C+of%2C+450%2C+%22or%22%2C+270%2C+km%29\". This means that the bus needs to travel another 180 (450 - 270) km to get to B
\n" ); document.write( "The bus traveled 270 km from A, in \"matrix%281%2C4%2C+270%2F50%2C+%22=%22%2C+27%2F5%2C+hours%29\". Therefore, it needed another \"matrix%281%2C4%2C+9+-+27%2F5%2C+or%2C+18%2F5%2C+hours%29\" to get to B on time
\n" ); document.write( "However, since it'd need to get to B \"matrix%281%2C6%2C+1%2636%2F60%2C+or%2C+1%263%2F5%2C+%22=%22%2C+8%2F5%2C+hours%29\" sooner, then it'd need to travel for \"matrix%281%2C6%2C+18%2F5+-+8%2F5%2C+%22=%22%2C+10%2F5%2C+%22=%22%2C+2%2C+hrs%29\"
\n" ); document.write( "Traveling the remaining 180 km to B, in 2 hours means that the bus would need to travel at a speed of \"matrix%281%2C4%2C+180%2F2%2C+%22or%22%2C+90%2C+%22km%2Fh%22%29\"
\n" ); document.write( "Hence, the bus would need to travel \"matrix%281%2C4%2C+%2290+-+50%2C%22%2C+or%2C+40%2C+%22km%2Fh%22%29%29\" more to get to B, 1 hour and 36 minutes earlier than planned. \n" ); document.write( "
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