Lisa walks 1/5 mile in 1/3 hour and Amanda walks 1/6 mile in 1/4 hour. who walks faster? how do you know?
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the statement:
Lisa walks 1/5 miles in 1/3 hours, and Amanda walks 1/6 miles in 1/4 hours.
Determine who walks faster.
Formula for velocity:
v =d/t
v =velocity
d = distance
t = time
Solution:
In order to determine who walks faster, we must find the velocity of each person, to do so we'll solve using the formula for velocity separately. To solve the given problem since we are asked to divide fractions, we must take note that, in dividing fractions, we take the reciprocal of the denominator and multiply it with the denominator.
Lisa:
v = 1/5 mi/1/3h
v = 1/5 (3/1) mi/h
v = 3/5 mi/h or 0.6 mi/h
Amanda:
v = 1/6 mi/1/4h
v = 1/6 (4/1) mi/h
v = ⅔ mi/h
v = 0.6666 (repeating) mi/h
Final answer:
Amanda walk's faster than Lisa since Amanda's velocity is ⅔ mi/h compared to Lisa's velocity which is 3/5 mi/h.