Word math Problem. I'm stuck (Solved)

Question

A Bus Driver planned a 2 day trip. He traveled 325 km at a certain speed on the first day. He traveled 58 km on the second day but because of weather conditions he reduced his speed by 7 km/h. The total travelling time for the trip was 6 hrs. How fast did he travel the first day?

Answer = 65 km/h

https://ibb.co/sjp0qHy <- image

Answer 1

First day:

distance travelled = 325 km

time taken = x hours

speed = 325/x km/h

Second day:

distance travelled = 58 km

time taken = (6 - x) hours

speed = (325/x - 7) km/h = 58/(6 - x)

Solve the equation (325/x) - 7 = 58/(6 - x)

Multiply the entire equation by x(6 - x)

325(6 - x) - 7(x)(6 - x) = 58x

(1950 - 325x) - (42x - 7x²) = 58x

Rearrange it:

7x² - 425x + 1950 = 0

Solving it by quadratic formula:

x = 390/7, 5

Since 390/7 > 6, which is not a feasible answer as time can never be smaller than 0

Thus, x = 5 hours