Problema Solution
In the morning Annie walks two miles. After she rides her bicycle for 13 miles in the same length of time as she walked in the morning. If she can ride her bicycle 16.5 miles per hour faster than she can walk, find her biking speed.
Answer provided by our tutors
Let
v = Annie's walking speed, v>0
v + 16.5 = Annie's biking speed
d1 = 2 mi the distance Annie walked
d2 = 13 mi the distance Annie biked
since speed = distance/time follows time = distance/speed
d1/v = d2/(v + 16.5)
2/v = 13/(v + 16.5)
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v = 3 mph
v + 16.5 = 3 + 16.5 = 19.5 mph
Annie's biking speed is 19.5 mph.