SOLUTION: Problem: Henry can ride his horse at 4mph and get to the battlefield on time. If he stops for 1 hour to make a speech to his troops, he must ride 5mph for the whole trip to get to

Question 661394: Problem: Henry can ride his horse at 4mph and get to the battlefield on time. If he stops for 1 hour to make a speech to his troops, he must ride 5mph for the whole trip to get to the battlefield on time. How far is it to the battlefield?
I know that D=rt, I have trouble with putting all the infomation into a chart to help see what I need to solve for.
Please help me! I really want to get good grades.
- Ashley Warner
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Henry can ride his horse at 4mph and get to the battlefield on time. If he stops for 1 hour to make a speech to his troops, he must ride 5mph for the whole trip to get to the battlefield on time. How far is it to the battlefield?
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Let distance to the battlefield be "x":
No-delay DATA:
rate = 4 mph ; time = d/r = x/4 hrs
-----
With-delay DATA:
rate = 5 mph ; time = d/r = x/5 hrs
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Equation:
no-delay time = delay-time + 1
---------------
x/4 = (x/5)+1
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5x = 4x + 20
x = 20 miles (distance to the battlefield)
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Cheers,
Stan H.
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