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

## Answer This Question

## Related Questions

- math - A and B are twos 360 km apart. An express bus departs from A at 8 a.m. ...
- math - the distance between town A and town B was 210km. At 9:20pm a bus sets ...
- math - The distance between towns M and N is 280 km. A car and a bus travel from...
- Physics - a bus travels from one point to another wuth a speed of 40km/h and ...
- physics - a bus travels from one point to another wuth a speed of 40km/h and ...
- math - a bus takes 12 hours to travel the same distance that an airplane travels...
- Math - The distance between Town A and Town B was 210 km. At 9:20 P.M., a bus ...
- math - The distance between town A and town B was 210 km. At 9:20 pm, a bus set ...
- SCIENCE(PHYSICS) - A train travels 40 km/hr for 0.2 hr, 50km/hr for next 0.2hr ...
- Word Equations - Yochanan walked from home to the bus stop at an average speed ...

More Related Questions