Samantha ran on a fitness track for 20 min, and then walked for 15 min. Her running rate was 230 ft per minute faster than her
walking rate. If she ran and walked a total of 16 comma 150 ft, how fast did she run?
1 answer:
Answer:
560 ft/min
Step-by-step explanation:
Let r represent Samantha's running rate in feet per minute. Then r-230 is her walking rate. We can use the relation ...
distance = speed × time
to write an equation for the total distance Samantha went.
20r + 15(r -230) = 16150
35r - 3450 = 16150 . . . . eliminate parentheses, collect terms
35r = 19600 . . . . . . . . . . add 3450
r = 560 . . . . . . . . . . . . . . divide by the coefficient of r
Samantha ran 560 feet per minute.
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