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For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 300 miles in 4 hours, how long does it take to travel 750 miles?

Sagot :

Answer:

It takes 10 hours to travel 750 miles.

Step-by-step explanation:

Since the car is moving at a constant speed, the relationship between distance traveled and time spent driving is directly proportional. This can be expressed as:

[tex]\[ \text{distance} = \text{speed} \times \text{time} \][/tex]

We can determine the speed of the car using the given information:

[tex]\[ \text{speed} = \frac{\text{distance}}{\text{time}} = \frac{300 \text{ miles}}{4 \text{ hours}} = 75 \text{ miles per hour} \][/tex]

Now, we need to find out how long it takes to travel 750 miles at this speed. Using the same formula:

[tex]\[ \text{time} = \frac{\text{distance}}{\text{speed}} = \frac{750 \text{ miles}}{75 \text{ miles per hour}} = 10 \text{ hours} \][/tex]

Therefore, it takes 10 hours to travel 750 miles.

reinhard10158

Step-by-step explanation:

speed = distance / time travelled

300 / 4 = 75 mph

75 = 750/x

x = 750/75 = 10 hours

so, it does take 10 hours to travel 750 miles.

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