Answer:
In traffic, she drove for 3 hours
and After the traffic cleared she drove for 2 hours.
Explanation:
Given that the road trip was 136 miles;

The first part of the trip there was lots of traffic, she only averaged 16 mph;

The second part of the trip there was no traffic so she could drive 44 mph;

She traveled for a total of 5 hours;

let x represent the time in traffic when she traveled at 16 mph

the time the traffic is clear would be;

Recall that distance equals speed multiply by time;

substituting the values;

solving for x;

So;

Therefore, In traffic, she drove for 3 hours
and After the traffic cleared she drove for 2 hours.
A'(- 4, 3 )
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
A(3, 4 ) → A'(- 4, 3 )
1/2 + 3/x = 3/4
3/x = 3/4 - 1/2
3/x = 3/4 - 2/4
3/x = 1/4....this is a proportion, so we cross multiply
(1)(x) = (3)(4)
x = 12
check..
1/2 + 3/12 = 3/4
6/12 + 3/12 = 3/4
9/12 = 3/4
3/4 = 3/4 (correct)
so x = 12