Aplane can fly 1020 miles in the same time as it takes a car to go 360 miles. if the car travels 110 mph slower than the plane, find the speed of the plane.

170 mph

Step-by-step explanation:

Let x mph be the plane's speed.

If the car travels 110 mph slower than the plane, then the car's speed is x - 110 mph.

Plane:

Speed = x mph

Distance = 1,020 miles

Time = t hours

Car:

Speed = x - 110 mph

Distance = 360 miles

Time = t hours

A plane can fly 1020 miles in the same time as it takes a car to go 360 miles, so

Cross multiply:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

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}

step-by-step explanation: