AMC 8 Daily Practice Round 8
Complete problem set with solutions and individual problem pages
On a certain bus route, there are intermediate stops. There are two types of buses: express and local. The express bus travels at times the speed of the local bus. The local bus stops at every station, while the express bus stops only at intermediate station. The stop time at each station is minutes. On one occasion, the local bus departs first. Forty minutes later, the express bus departs from the same starting station, and the two buses arrive at the terminal at the same time. How much time does the express bus take from the starting point to the terminal?
- A.
- B.
- C.
- D.
- E.
Let the distance from the starting point to the terminal be , and let the speed of the local bus be .
The travel time for the local bus is and the total stopping time is minutes.
From the problem statement:
which gives .
Therefore, the express bus takes from the starting point to the terminal.
