A car travels a steady speed and takes five hours to travel 310 miles. Work out the average speed of the car in miles per hour.

1 answer:

5 0

We have been given that a car travels a steady speed and takes five hours to travel 310 miles. We are asked to find out average speed of the car.

To find average speed of car we will divide total distance traveled by time taken in completing the distance.

$\text{Average speed of car}=\frac{310\text{ miles}}{5\text{ hours}}$

Upon dividing 310 by 5 we will get,

$\text{Average speed of car}=62\frac{\text{ miles}}{\text{ hours}}$

Therefore, average speed of car will 62 miles per hour.

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dale is driving to Miami. suppose that the distance (in miles) is a linear function of his total driving time (in minutes). dale

nexus9112 [7]

Considering there is a function (relationship) and that it is linear, the distance will change proportionally to time constantly. In other words, we are taking the speed to be constant throughout the journey.
If we let:
t = time (min's) driving
d = distance (miles) from destination
Then we can represent the above information as:
t = 40: d = 59
t = 52: d = 50
If we think of this as a graph, we can think of the x-axis representing time and the y-axis representing the distance to the destination. Being linear, the function will be a line, i.e. it will have a constant gradient. If you were plot the two points inferred from the information and connect the two dots, you will get a declining line (one with a negative gradient) representing the inversely proportional relationship or equally, the negative correlation between the time driving and the distance to the destination. The equation of this line will be the linear function that relates time and the distance to the destination. To find this linear function, we do as follows:

Find the gradient (m) of the line:
m = Δy/Δx
In this case, the x-values are t-values and our y-values are d-values, so:
Δy = Δd
= 50 - 59
= -9
Δx = Δt
= 52 - 40
= 12
m = -9/12 = -3/4
Note: m is equivalent to speed with units: d/t

Use formula to find function and rearrange to give it in the desired format:
y - y₁ = m(x - x₁)
d - 50 = -3/4(t - 52)
4d - 200 = -3t + 156
4d + 3t - 356 = 0

Let t = 70 to find d at the time:
4d + 3(70) - 356 = 0
4d + 210 - 356 = 0
4d - 146 = 0
4d = 146
d = 73/2 = 36.5 miles

So after 70 min's of driving, Dale will be 36.5 miles from his destination.

3 0

3 years ago

Kate has a coin collection. She keeps 7 of the coins in a box which is only 5% of her entire collection.

Vadim26 [7]

Answer:

She has 140 coins in total.

Step-by-step explanation:

Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.

Hope this helps you!

4 0

2 years ago

Two jets leave an airport at the same time, flying in opposite directions. The first jet is traveling at three hundred seventy-s

gladu [14]

Here is the set using D = rt.

Jet 1:

rate = 377 mph

time = x

Distance = 9128 miles

Jet 2:

rate = 275 mph

time = x

Distance = 9128 miles

Equation:

377x + 275x = 9128

You finish.

8 0

3 years ago

Unit rate of $42 for 3 books

HACTEHA [7]

I think it would be $14 per book

3 0

3 years ago

the distance around a circle (the circumference) is about 3.14 times the diameter. If a circulares table has a diameter of 3 fee

Katyanochek1 [597]

Well.
The relation between the circumference of a circle and its diameter is described by the following equation: $Thecircumference=\pi d$
where d is the diameter of the circle.
For a giving diameter (d=3ft), we can substitute in the previous equation
The circumference of a circule= 3.14*3 (you can use ur calculator to find the exact number i guess it will be about 9.42 ft)

I hope it helps.

8 0

3 years ago