8. A motor car drives at an average speed of $$ 106 \mathrm{~km} / \mathrm{h} $$ for 2 hours 2 hours 35 minutes?

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UpStudy AI · Accepted Answer

1. Determine the formula for distance:
   
   $$
   \text{Distance} = \text{Speed} \times \text{Time}
   $$

2. For 2 hours:
   
   $$
   \text{Distance} = 106 \times 2 = 212 \text{ km}
   $$

3. For 2 hours 35 minutes, first convert 35 minutes to hours:
   
   $$
   35 \text{ minutes} = \frac{35}{60} = \frac{7}{12} \text{ hours}
   $$
   
4. Then, the total time in hours is:
   
   $$
   2 + \frac{7}{12} = \frac{24}{12} + \frac{7}{12} = \frac{31}{12} \text{ hours}
   $$

5. Now, calculate the distance for 2 hours 35 minutes:
   
   $$
   \text{Distance} = 106 \times \frac{31}{12} = \frac{106 \times 31}{12} = \frac{3286}{12} \text{ km}
   $$

6. The distance in simplest form is:
   
   $$
   \frac{3286}{12} \text{ km} \quad \text{or approximately} \quad 273.83 \text{ km}
   $$
The car travels a total distance of approximately 273.83 km.

8. A motor car drives at an average speed of \( 106 \mathrm{~km} / \mathrm{h} \) for 2 hours 2 hours 35 minutes?

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