A student is driving home a distance of 150 miles for the weekend. The student knows by experience that increasing the average speed by 10mph, She can reduce the trip time by 35 minutes. What's the actual speed?

D=vt

150=vt

t= 150/v

150=v+10((150/v)-35)

Here, I'm kind of stuck. I was wondering if someone could talk me through this? I'm not sure if I am thinking about this correctly.