Problema Solution
Cynthia rides a bicycle for half an hour and then rollerblades for half an hour. Cynthia rides the bicycle at a speed that is twice the speed at which she rollerblades. If the total distance covered is 12 miles, determine the speed at which she bikes and rollerblades.
Answer provided by our tutors
Let
v = the Cynthia's speed rollerblading
t2 = 1/2 hr the time spent rollerblading
2v = the Cynthia's speed biking
t1 = 1/2 hr the time spent biking
d = 12 mi the total distance traveled
Since distance = speed*time we have:
2v*t1 + v*t2 = d
2v*(1/2) + v*(1/2) = 12
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click here to see the equation solved for v
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v = 8 mph
Cynthia rollerblades at a speed of 8 mph.
2v = 2*8 = 16 mph
Cynthia bikes at a speed of 16 mph.