Dana enjoys taking her dog for a walk, but sometimes her dog gets away and she has to run after him. Dana walked her dog for 7 miles but then had to run for 1 mile, spending a total time of 2.5 hours with her dog. Her running speed was 3 mph faster than her walking speed. Find her walking speed.

Respuesta :

Answer:

walking=2.801 mph,  running=3.2653mph

Step-by-step explanation:

7x+(x+3)=2.5hr*(60min)

7x+(x+3)=150min

1mile running take 18.375 min

1mile  walking take 21.375min

x=18.375mph

Dana's walking speed was 3 miles per hour.

Since Dana enjoys taking her dog for a walk, but sometimes her dog gets away and she has to run after him, and Dana walked her dog for 7 miles but then had to run for 1 mile, spending a total time of 2.5 hours with her dog, and her running speed was 3 mph faster than her walking speed, to find her walking speed the following calculation must be performed:

  • 10 mph = 1 Mile in 6 minutes
  • 5 mph = 1 mile in 12 minutes
  • 2 mph = 7 miles in 3.5 hours
  • 6 mph = 1 mile in 10 minutes
  • 3 mph = 7 miles in 2.33 hours (2 hours 20 minutes)

Therefore, her walking speed was 3 miles per hour.

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