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Time Distance and Speed
Scott is jogging from point X to Y. 30 minutes later his friend Garrett who jogs 1 mile per hour slower than twice Scott 's rate starts from the same point and follows the same path. If Garrett overtakes Scott in 2 hours, how many miles will Garrett have covered??
a)11/5 b)10/3 c)4 d)6
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- ollowing Guideline 1, we let r = Scott's rate. Then 2r - 1 = Garrett's rate. Turning to Guideline 2, we look for two quantities that are equal to each other. When Garrett overtakes Scott, they will have traveled the same distance. Now, from the formula D = R x T, Scott's distance is D = r x 2 1/2 and Garrett's distance is D = (2r - 1)2 = 4r - 2. Setting these expressions equal to each other gives
4r - 2 = r x 2 1/2
Solving this equation for r gives r = 4/3. Hence, Garrett will have traveled
D = 4r - 2 = 4(4/3) - 2 = 3 1/3 miles
The answer is (B). - 8 years agoHelpfull: Yes(1) No(0)
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