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

Question

3 years ago

11

walking rate. If she ran and walked a total of 16 comma 150 ft, how fast did she run?

1 answer:

Mnenie [13.5K] · Answer 1 · 2022-02-13T05:25:54+03:00

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.

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