Question

A 2-day automobile trip of 880 miles is planned. Half of this distance is to be traveled each day at a rate of 55 miles per hour. How many hours will be driven each day, given that D=RT? (D = Distance, R = Rate, T = Time)

108

likes
542 views

Answer to a math question A 2-day automobile trip of 880 miles is planned. Half of this distance is to be traveled each day at a rate of 55 miles per hour. How many hours will be driven each day, given that D=RT? (D = Distance, R = Rate, T = Time)

Expert avatar
Hank
4.8
105 Answers
Solution:
1. Determine the total distance to be traveled each day:
* Total distance: 880 \text{ miles}
* Half the distance per day: \frac{880}{2} = 440 \text{ miles}

2. Use the formula for distance, rate, and time:
* Formula: D = R \cdot T
* Given:
- Rate, R = 55 \text{ miles per hour}
- Distance per day, D = 440 \text{ miles}

3. Solve for time, T:
* Substitute into the formula:
440 = 55 \cdot T
* Solve for T:
T = \frac{440}{55} = 8 \text{ hours}

Each day, they will drive for a total of 8 \text{ hours}.

Frequently asked questions (FAQs)
Question: Simplify √(125) - 2√(27) + √(48)
+
What are the asymptotes of the hyperbola with equation (x-3)^2/9 - (y+2)^2/16 = 1?
+
What is the period of the trigonometric function f(x) = 3cos(2x) - 4sin(3x)?
+
New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (βˆ’3,4). What is your slope?
How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117
A=m/2-t isolate t
10! - 8! =
the value of sin 178Β°58'
(2x+5)^3+(x-3)(x+3)
Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
Solve the following equation for x in exact form and then find the value to the nearest hundredths (make sure to show your work): 5e3x – 3 = 25
DuocUC 2) The cost C, in pesos, for the production of x meters of a certain fabric can be calculated through the function: (x+185) C(x)=81300-6x+ 20000 a) It is known that C(90) 5.344. Interpret this result. (2 points) b) Calculate C'(x) (2 points) 3 xΒ²+111x-0.87 20000 2000 c) Function C calculates the cost while producing a maximum of 500 meters of fabric. Determine the values of x at which the cost of production is increasing and the values of x at which the cost is decreasing. (3 points) d) If a maximum of 500 meters of fabric are produced, what is the minimum production cost? (
Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.
When Sara was 15 years old, an uncle left her as inheritanceΓ  a sum of 10,000 euros which he invested in a bank that applies the interest rate of 2,5% annual. Today Sara is 18 years and wants to buy a'car, how much she can Γ² withdraw from the bank?
A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?
Write the equation of the line that is parallel to y= 4x-7 and has a y- intercept at (0,5)
Consider the function f(x)=1/2(x+1)^2-3. Use the preceding/following interval method to estimate the instantaneous rate of change at π‘₯ = 1.
Given a circle π‘˜(𝑆; π‘Ÿ = 4 π‘π‘š) and a line |𝐴𝐡| = 2 π‘π‘š. Determine and construct the set of all centers of circles that touch circle π‘˜ and have radius π‘Ÿ = |𝐴𝐡|
22. Let [AB] be a chord in a circle C, and k a circle which is internally tangent to the circle C at a point P and to the chord [AB] at a point Q. Show that the line P Q passes through the midpoint of the arc AB opposite to the arc APB.
simplify w+[6+(-5)]
In a cheese factory, one pie costs 3800 denars. The fixed ones costs are 1,200,000 denars, and variable costs are 2,500 denars per pie. To encounter: a) income functions. profit and costs; b) the break-even point and profit and loss intervals.