Steven traveled for 10 hours at a constant rate of 53 miles per hour. Stephanie traveled the same distance at a constant rate of 48 miles per hour. How long did it take Stephanie to travel the same distance as Steven? Write your plan to solve in the correct order.
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the statement:
Steven traveled for 10 hours at a constant rate of 53 miles per hour. Stephanie traveled the same distance at a constant rate of 48 miles per hour.
Steven's velocity = 53 mi/hr
Stephanie's velocity = 48 mi/hr
Steven's Time = 10 hours
Determine how long did Stephanie traveled the same distance.
Formula for Velocity:
v = d/t
d = tv
t = d/v
Solution:
Determine first the total distance by referring to Steven's given velocity and time.
d = tv
d = (53 mi/hr)(10 h)
d = 530 mi
They both traveled 530 mi, hence to find for Stephanie's time, we divide 530 by 48 mi/hr
t = 530 mi/48 mi/hr
t = 11.04 hours
Final answer:
Stephanie traveled for 11.04 hours.