6. Student Vasya, living 50 km from his institute, rides a bicycle to classes and always arrives exactly on time. However, today he rode at the planned speed for only the first 10 km, after which his bicycle broke down, and Vasya had to walk. After some time, Vasya got lucky, and the last 24 km he traveled by a passing car. Did Vasya make it to the start of the classes on time if his walking speed was 2.5 times slower than his cycling speed, and the car's speed was 6 times faster than his cycling speed? Justify your answer.
Solution. Vasya walked $50-10-24=16$ km. In the time spent walking, Vasya would have traveled 2.5 times more on a bicycle, i.e., 16 * $2.5=40$ km. This means that his classes at the institute started just when Vasya managed to get a ride. Conclusion: Vasya was late for his classes.

Answer: no, he did not make it.