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patriot [66]
3 years ago
7

100 POINTS!!!!!!! I WILL GIVE BRAINLIEST!

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

  • 8.4 miles

Step-by-step explanation:

Let the speed in the morning be s, then in the evening it is s - 4

<u>The distance is equal both directions:</u>

  • 45 min *s = 1 hr 10 min *(s - 4)

<u>Time in hours:</u>

  • 45*1/60*s = (1 + 10*1/60)(s - 4)
  • 3/4s = 7/6s - 7/6*4

<u>Multiply all terms by 12 to clear fraction:</u>

  • 9s = 14s - 56
  • 5s = 56
  • s = 56/5
  • s= 11.2 mph

<u>The distance is:</u>

  • 3/4*11.2 = 0.75*11.2 = 8.4 miles
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