need help again please explain througholy?

Question

hey sorry im hopless at these questions i dont understand them could you please help me understandthem a little in your answers

A plane flies from Portland, ME to El Paso, TX with an average speed of 303 mph. A car drives the same distance and leaves at the same time, averaging a speed of 50 mph. The plane arrives in El Paso 35.42 hours before the car. How far is it from Portland to El Paso? Use a chart to help you organize the information.



The Party Bank pays four percent simple interest per year on deposits. Connor was paid $1,104 of interest over a four year period. How much did he originally deposit?



Alexis left a location at 8 a.m. The channel three news sent a helicopter from the same location eight hours later to catch up with Alexis. The helicopter's average rate of speed is one hundred fifty mph. If Alexis traveled at 53 mph, how far did she drive?

Answer 1

I'm going to assume you don't want the answer, but want to know how to solve for the answer.

First, remove all extraneous information. That's any info that doesn't have a direct mathematical bearing on the solution. So the first question becomes:

Problem 1:
Vehicle A goes from point 1 to point 2 at a speed of 303 mph
Vehicle B goes from point 1 to point 2 at a speed of 50 mph
The time spent travelling by A is 35.42 hours less than the time spent by vehicle B.

You know the equation Distance = Speed * Time.
Distance is the same for both vehicle A and B
Speed is 303 for vehicle A and 50 for B
Time for A is T while time for B is T + 35.42
Solve for T, then plug it back into the D=S*T to solve for D.

Problem 2:
Start with X originally deposited.
After 1 year, X grows into X*1.04 (at 4 percent simple interest)
After 2 year,2 X grows into Y*1.04, where Y is X*1.04, or X*1.04*1.04
After 3 years, it's now X*(1.04)^3
After 4 years, it's now X*(1.04)^4
That's the total amount of principle plus interest.
Since the interest is $1104, set up the equation as:

X*(1.04)^4 - X = 1104.
Solve for X

Problem 3:
Exact same as question 1 except instead of them starting at the same time (and arriving 35.42 hours apart), they start 8 hours apart and arrive at the same time. Again, that part is fluff -- all you care about is that the slower vehicle spent 8 hours more travelling than the faster vehicle. Solve like above.

Answer 2

1)
x = Time; y = Miles

303x = y
(35.42 +x)50 = y
303x=(35.42+x)50
303x = 1771 +50x
253x = 1771
x = 7

(303)(7) = 2121 miles

2)

x = deposit; y = interest

x(1.04^4) = x + y
1.17x = x + 1104
.17x = 1104
x = $6499.53

3)

x = Time; y = Miles

53x = y
150 (x-8) = y
53x = 150 (x-8)
53x = 150x - 1200
97x = 1200
x = 12.37

53(12.37) = 655.67 miles

Answer 3

In the first one if it takes the car 35.42 hours, wouldn't the answer just be 35.42 x 50=
maine isn't 8000 miles from texas.

and the last one would seem to be 8 X 53=

Answer 4

1) Make a chart showing the hours traveled and then the total distance traveled by the plane and the total traveled by the car. so the first will have hour 1 plane went 303 miles, car went 50 miles. hour 2, plane went 606 miles, car went 100 miles. when you get to the last .42 hour multiply 50 by .42 to see how far the car goes in that time. and multiply .42 by 303 to see how far the plane went in that time.

Answer 5

1.the relative speed=303-50=253mph
distance=relative speed *time=253*35.42-=8961.26 miles

2.P*4*4/100=1104
P=1104*100/4=$27600

3.relative speed=150-53=97mph
time=8 hrs
distance driven by alexis=97*8=776 miles

Answer 6

Here is the first problem.
RTDistance
Plane303x – 35.42 hours303x – 10732.26
Car50x50x


303x- 10732.26 = 50xRate times time equals distance.

-253x = -10732.26
x = 42.42 hours

50(42.42) = 2121 miles

Answer 7

Do your own home work!