help! please and thank you?

Question

A car traveled for 1/2 h at r mi/h, then increased the speed by 10 mi/h and traveled for 1.5 hours more. How far did the car go? (express answer in terms or r.

Question #2:
The measure of an angle is 8 degree less than 3 times the measure of the angle's supplement. Find the measure of the angle.


please help me. thanks.

Answer 1

In the first leg the car travels 0.5*r mi. In the second leg, the speed is r + 10, and it travels at that speed for 1.5 hr, so it

D = 0.5*r + 1.5*(r+10)

D = 2.0*r + 15

The supplement of angle A is 180º - A

A = 3*(supplement of A) less 8:

A = 3*(180 - A) - 8

A = 540 - 3*A - 8

A+3*A = 540 - 8

4*A = 532

A = 133