Question 48
A model car is tested on closed circuits of length 600 metres, consisting of level, uphill and downhill stretches. All uphill and downhill stretches have the same slope. The tests reveal some curious facts:
a. The car's speed depends only on whether the stretch is uphill, level or downhill. Calling these speeds $v_s,v_p,v_d$, respectively, we have $v_s\lt v_p\lt v_d$.
b. The speeds $v_s,v_p,v_d$, in metres per second, are integers.
c. Whatever the composition of the circuit (with more or fewer ascents and descents), the travel time is always 50 seconds.
Find all possible values of $v_s,v_p,v_d$.
a. The car's speed depends only on whether the stretch is uphill, level or downhill. Calling these speeds $v_s,v_p,v_d$, respectively, we have $v_s\lt v_p\lt v_d$.
b. The speeds $v_s,v_p,v_d$, in metres per second, are integers.
c. Whatever the composition of the circuit (with more or fewer ascents and descents), the travel time is always 50 seconds.
Find all possible values of $v_s,v_p,v_d$.