SOLUTION: hi guys i really need help on this problem: Henry can ride his horse at 4 miles per hour and get to the battlefield on time. If he stops for 1 hour to m ake a speech to his tr

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: hi guys i really need help on this problem: Henry can ride his horse at 4 miles per hour and get to the battlefield on time. If he stops for 1 hour to m ake a speech to his tr      Log On

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 Question 59900: hi guys i really need help on this problem: Henry can ride his horse at 4 miles per hour and get to the battlefield on time. If he stops for 1 hour to m ake a speech to his troops, he must ride at 5 miles per hour for the whole trip to get to the battlefield on time. How far is it to the battlefield? Can you please tell me step-by-step how to solve this because i have more of these kinds of problems on homework! Thanks!Answer by stanbon(57246)   (Show Source): You can put this solution on YOUR website!Henry can ride his horse at 4 miles per hour and get to the battlefield on time. If he stops for 1 hour to m ake a speech to his troops, he must ride at 5 miles per hour for the whole trip to get to the battlefield on time. How far is it to the battlefield? -------------- 1st ride to the battlefield DATA: Rate = 4 mph ; time = x hrs. ; distance = rt=4x miles -------------- 2nd ride to the battlefield DATA: Rate = 5 mph ; time = x-1 hrs. ; distance = rt = 5(x-1) miles ------------------- EQUATION: 1st distance = 2nd distance 4x=5(x-1) 4x=5x-5 -x=-5 x=5 hours --------------- Distance = 4*5= 20 miles Cheers, Stan H.