SOLUTION: Carlos can walk 8 miles in the same time it takes him to jog 12 miles. His jogging rate is 5 miles per hour faster than his walking rate. At what rate does he walk? How long does i

Question 178777: Carlos can walk 8 miles in the same time it takes him to jog 12 miles. His jogging rate is 5 miles per hour faster than his walking rate. At what rate does he walk? How long does it take him to walk 8 miles?
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Let x=time it takes to walk 8 mi or jog 12 mi
distance=rate*time
rate=distance/time
Therefore,
=his walking speed
=jogging speed
His jogging rate is 5 miles per hour faster than his walking rate.
So,

x(5x+8)=12x
5x^2+8x=12x
5x^2-4x=0
5x-4=0
x=4/5
walking rate=mi per hr
x=4/5=time it takes to walk 8 miles.
Power up,
HyperBrain!
Stop this mess! Click here
RELATED QUESTIONS
Carlos can walk 8 miles in the same time it takes him to jog 12 miles. His jogging rate... (answered by ankor@dixie-net.com)

Jana can jog 5 miles downhill in the same time that it takes her to jog 3 miles uphill.... (answered by mananth)

Mary can jog, on average, 2 miles per hour faster than her husband, James. James can jog... (answered by macston)

Could you please show me how to set up and answer this question: Jose takes the same... (answered by mathispowerful,checkley71)

Mike takes the same amount of time to walk 3 miles as it takes Bryan to ride his bicycle... (answered by ankor@dixie-net.com)

jennifer walks 7 miles in the same time she can jog 12 miles. if her jogging speed is 8... (answered by ankor@dixie-net.com)

You can walk 10 miles in the same time that it takes to travel 15 miles by bicycle. If... (answered by ankor@dixie-net.com)

Mark can ride 16 kilometres on his bicycle in the same time it takes him to walk 7... (answered by ikleyn)

Karin can run 3 miles per hour faster than her sister Kim can walk. If Karin ran 12 miles (answered by ikleyn,greenestamps)