Homework Help: MATH

Posted by Vivianne on Monday, May 24, 2010 at 9:00am.

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?

MATH - bobpursley, Monday, May 24, 2010 at 9:11am
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=d-50x/60
172=d-60x/50
subtract the second from the first.
150-172=x(5/6-6/5)
solve for x.
Then, put x in either equation, solve for d. you are looking for x+d

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