MathDB

A model car is tested on some closed circuit

600

meters long, consisting of flat stretches, uphill and downhill. All uphill and downhill have the same slope. The test highlights the following facts:
(a) The velocity of the car depends only on the fact that the car is driving along a stretch of uphill, plane or downhill; calling these three velocities

v_s, v_p

and

v_d

respectively, we have

v_s <v_p <v_d

;
(b)

v_s,v_p

and

v_d

, expressed in meter per second, are integers.
(c) Whatever may be the structure of the circuit, the time taken to complete the circuit is always

50

seconds.
Find all possible values of

v_s, v_p

and

v_d

Problem Statement