Aplane leaves st. louis airport at 10: 00a. m. flying due north. another plane from the same airport flies due south at 12: 00p. m. at 2: 00p. m. they are 1,800 miles apart. find the rate of each plane if the rate of the plane flying north is twice that of the plane flying south.

Let

x> the rate of the plane flying north

y> the rate of the plane flying south

we know that

x=2y> y=(x/2)> equation 1

rate=distance/time

1) Find the distance at 2:00p.m> plane flying north

2:00p.m-10:00a.m> 14:00-10:00=4 hours

distance 1=rate*time> distance 1=x*4

2) Find the distance at 2:00p.m> plane flying south

2:00p.m-12:00p.m> 14:00-12:00=2 hours

distance=rate*time> distance 2=y*2

substitute equation 1 in the formula above

distance2=(x/2)*2> distance2=x

we know that

distance 1+distance 2=1,800 miles

so

4x+x=1,800> 5x=1,800> divide by 5 both sides

x=360 miles/hour

y=360/2> y=180 miles hour

therefore

the answer is

the rate of the plane flying north is 360 miles/hour

the rate of the plane flying south is 180 miles hour

Rate of plane flying north is 360 miles/hour.

Rate of plane flying south is 180 miles/hour.

Step-by-step explanation:

Given :

Let 'a' be the rate of plane flying north and 'b' be the rate of plane flying south.

a = 2b ---- (1)  (given)

Calculation :

We know that

So time taken by both the plane to flying 1800 miles apart is 4 hours and 2 hours respectively.

Therefore,

---- (2)

----- (3)

----- (4)  (Given)

From equation (2), (3) and (4)

---- (5)

From equation (1) and (5)

From equation (1) we get

a = 360 miles/hour

Rate of plane flying north is 360 miles/hour.

Rate of plane flying south is 180 miles/hour.

For more information, refer the link given below

link

853.3

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.