Passage I

Five bicycle riders traveled during the same 35 sec time interval along a 1 km segment of a straight path. Point P was located at one end of the segment. D, measured in meters, was a rider's distance along the path from Point P at time t. Measurement of D began simultaneously for all riders at t = 0 sec.

Figure 1 is a graph of D versus t for Riders 1 and 2. Figure 2 is a graph of D versus t for Riders 3, 4, and 5.

1. Consider two of the riders temporarily renamed Rider A and Rider B. Rider A traveled in the same direction as Rider B throughout the 35 sec interval. Initially, Rider A traveled more slowly than Rider B and fell behind. But Rider A pedaled faster and faster and, in less than 30 sec, caught up with and passed Rider B. Who were Riders A and B?

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

According to Figure 1, when the time t on the abscissa is less than 26 sec, the distance on the ordinate of rider 1 is smaller than that on the ordinate of rider 2, indicating that rider 1 rides slower at the same time; when the time t on the abscissa is t When it is greater than 26sec, the ordinate of rider 1 is greater than that of rider 2, so at this time rider 1 has overtaken rider 2