Answered

Q36. Emily drives 186 miles in 3 hours.

(a) What is her average speed?
[tex]\[ \text{Average Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{186 \text{ miles}}{3 \text{ hours}} = 62 \text{ mph} \][/tex]

Sarah drives at an average speed of 58 mph for 4 hours.

(b) How many miles does Sarah drive?
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} = 58 \text{ mph} \times 4 \text{ hours} = 232 \text{ miles} \][/tex]



Answer :

GinnyAnswer
Certainly! Let's solve the problem step-by-step with detailed explanations.

### Part (a)

Question: Emily drives 186 miles in 3 hours. What is her average speed?

Step-by-Step Solution:
1. Identify the distance Emily drove: The problem states that Emily drove 186 miles.
2. Identify the time Emily took: The problem states that Emily took 3 hours.
3. Formula for average speed: Average speed is calculated by dividing the total distance traveled by the total time taken.

[tex]\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]

4. Plug in the values:

[tex]\[ \text{Average speed} = \frac{186 \text{ miles}}{3 \text{ hours}} = 62 \text{ mph} \][/tex]

Answer: Emily's average speed is 62 mph.

### Part (b)

Question: Sarah drives at an average speed of 58 mph for 4 hours. How many miles does she drive?

Step-by-Step Solution:
1. Identify the average speed Sarah is driving: The problem states that Sarah is driving at an average speed of 58 mph.
2. Identify the time Sarah drove: The problem states that Sarah drove for 4 hours.
3. Formula for distance traveled: Distance is calculated by multiplying the average speed by the time.

[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]

4. Plug in the values:

[tex]\[ \text{Distance} = 58 \text{ mph} \times 4 \text{ hours} = 232 \text{ miles} \][/tex]

Answer: Sarah drives 232 miles.