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solong [7]
3 years ago
10

You are going on a road trip!

Mathematics
2 answers:
hjlf3 years ago
5 0

Answer with explanation:

Total Distance traveled in 2.5 hours = 135 miles

Average speed for the total trip

          =\frac{135 \text{miles}}{2.5\text{hours}}\\\\=54 \frac{miles}{hour}

Let time taken by person while going from his house to his friend house = t hours

Average Speed of person after  leaving the friend's house.  = 50 miles/hour

Let average speed of person while going from his house to his friend house =v miles/hour.

\rightarrow 54=\frac{50+v}{2}\\\\ 108 -50=v\\\\v=58 \frac{miles}{hour}

Also, Distance = Speed × Time

→135 = 58 × t +50 × (2.5 -t)

→135 = 58 t +125 - 50 t

→135 - 125 =8 t

→ 10 = 8 t

t=\frac{10}{8}\times \text{hours}=75\text{Minutes}

So, i traveled at a speed of 58 miles /hour, for 75 minutes ,from my house to my friend's House in the entire trip.

Vitek1552 [10]3 years ago
5 0

Answer:

The answer is A.

Step-by-step explanation:

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