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2 years ago

15

Stan’s Car Rental charges $35 per day plus $0.25 per mile. Denise wants to rent one of Stan’s cars, keeping the total cost of th

e rental to no more than $55.
What is the greatest number of miles Denise can drive the car to stay within her budget?

1 answer:

Harrizon [31]2 years ago

5 0

80 miles

35+.25x is less than or equal to 55
55-35= 20
20/.25 =x
x= 80

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1. Approach

The average speed is the rate at which one travels. It can be found by diving the total distance traveled over the total time it took to cover that distance. In essence, the following formula can be used to find the average speed:

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First, convert all of the numbers into the correct units (km) and (hours). Then find the average speed for each person. Finally, subtract the smaller speed from the larger speed to find the difference in the average speeds.

1. Find Lena's average speed

The problem asks one to find the average speed in the units (km/h). However, the distance Lena covered is given in (miles). Therefore, one has to multiply it by the conversion factor (1.6) in order to convert it from (miles) to (km).

24miles * 1.6 = 38.4

Now find the average speed by using the formula:

$\frac{total\ distance}{total\ time}=average\ speed$

Substitute,

$\frac{38.4}{1.5}\\\\=25.6$

2. Find Ras's average speed

Use a similar approach to work out Ras's average speed, as was used to find Lena's average speed. Since Ras's time spent is given in both hours and minutes, one must convert it to just minutes. There are (60) minutes in an hour, thus, one can rewrite the number as the following:

$1\ hour \ \ 15\ minutes= 1 \frac{15}{60}\ hours = \frac{75}{60}\ hours$

Now find the average speed:

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Substitute,

$\frac{36}{\frac{75}{60}}\\\\=28.8$

3. Find the difference between the speeds

Since Ras's speed is greater, subtract Lena's speed from Ras's speed.

Ras - Lena

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