Problema Solution
Madison went to the study group traveling 12 mph and returned home traveling 10 mph. If the total trip took 11
hours, how long did Madison travel at each speed?
Answer provided by our tutors
Let
v1 = 12 mph the speed traveling to the study group
v2 = 10 mph the return speed
t1 = the time of the travel to the study group
t2 = the time of the return trio
t1 + t2 = 11
Since distance = speed*time we have:
v1t1 = v2t2
12t1 = 10t2
We have the following system of equations:
t1 + t2 = 11
12t1 = 10t2
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click here to see the system of equations solved for t1 and t2
........
t1 = 5 h
t2 = 6 h
Medison traveled 5 hours with a speed of 12 mph and 6 hours with a speed of 10 mph.