Answer:
Step-by-step explanation:
2c=6p-4 and c=p+10 so p=c-10 then 2c=6p-4 becomes
2c=6(c-10)-4
2c=6c-60-4
2c=6c-64
-4c=-64
c=16
So the cyclist is traveling at 16 km/hr
Answer:
16 km/hr
Step-by-step explanation:
P = distance covered by the pedestrian in 6 hours in km
C = distance covered by the cyclist in 2 hours in km= P - 4
Vp = speed of the pedestrian in km/hr
Vc = speed of the cyclist in km/hr = Vp + 10
The cyclist had a constant speed for 2 hours which covered a distance of C or (P-4).
2(Vc) = C = P - 4
The pedestrian had a constant speed for 6 hours which covered a distance of P
P = 6(Vp)
Since you know what P and Vc are in terms of Vp, rewrite the equation 2(Vc) = C = P - 4 in terms of Vp.
2(Vc) = C = P - 4 becomes
2(Vp + 10) = 6(Vp) - 4
Solve for Vp:
2(Vp + 10) = 6(Vp) - 4
2(Vp) + 20 = 6(Vp) - 4
4(Vp) = 24 ==> Vp = 6
You have the speed of the pedestrian, and with it you can solve the speed of the cyclist.
Vc = Vp + 10 = 6 + 10 = 16 km/hr
