MATH
posted by Vivianne on .
The distance from A to B is d km and that from B to C is x km. if a bus maintains an average speed of 50km/hr between A and B and 60km/hr between B and C, it takes 3 hours to travel from A to C. If it maintains 60km/hr between A and B and 50km/hr between B and C, the journey takes 8 minutes less. What is the distance from A to C via B?

time= distance/speed.
3hrs= d/50 + x/60
2hrs 52min= d/60 + x/50 or
172/60 hrs= d/60 + x/50
I would multiply the first equation by 50, the second by 60
3*50=d50x/60
172=d60x/50
subtract the second from the first.
150172=x(5/66/5)
solve for x.
Then, put x in either equation, solve for d. you are looking for x+d