Question

Велосипедист выехал из деревни на станцию, находящуюся на расстоянии 120км, и прибыл туда в 12.00. Если бы он ехал со скоростью на 3км/ч большей, о прибыл бы на станцию в 10.00. С какой скоростью ехал велосипидист?

Answer 1

S=120
s=vt
s=(v+3)(t-2)
vt=120
vt-2v+3t-6=120
-2v+3t-6=0
v=1,5t-3
1,5t^2

Answer 2

Problem Analysis

A cyclist traveled from a village to a train station located 120 km away and arrived at 12:00. If the cyclist had traveled 3 km/h faster, they would have arrived at the station at 10:00. We need to determine the speed at which the cyclist was traveling.

Solution

Let's assume the cyclist's original speed is x km/h. According to the problem, if the cyclist had traveled 3 km/h faster, they would have arrived at the station at 10:00. This means that the time it took for the cyclist to travel the distance of 120 km at the faster speed is 2 hours less than the time it took at the original speed.

Using the formula time = distance / speed, we can set up the following equation:

120 / (x + 3) = 120 / x - 2

To solve this equation, we can cross-multiply:

120x - 240 = 120x + 360

Simplifying the equation, we get:

-240 = 360

This equation is not possible to solve because it leads to a contradiction. Therefore, there is no solution for the given problem.

Conclusion

Based on the given information, it is not possible to determine the speed at which the cyclist was traveling.