Speeding things up a bit

When you want to catch up with your older brother, you need to move faster than he s moving, if he left before you. 

Part III Tackling Word Problems from Algebra 

The Problem Don left home with his fishing gear and headed for his favorite spot at 6 a.m. Don bicycles at 6 mph. Don s younger brother, Doug, left home at 6 30 and caught up with Don at 6 45 a.m.. How fast did Doug have to travel to catch up to Don at that time  

The Problem Carole left Tampa one hour after Warren. Carole caught up to Warren 200 miles from Tampa, because she drove at a rate of speed that s 125 percent Warren s speed. How fast did Carole and Warren drive  

Both Carole and Warren drove 200 miles. Let r represent Warren s speed and t represent how long Warren drove to make that 200 miles. For Warren, you write the equation 200 = rt. Carole drove the same 200 miles, but she drove faster and for one hour less than Warren. For Carole, you write the equation 200 = (1.25r)(f- 1). Going back to Warren s equation, solve for t in terms of the 200 and r, and replace the tin Carole s equation with that expression. 

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