Answer :
Answer:
The answer to your question is 2 hours
Step-by-step explanation:
Data
Juan speed = 4 mi/h
Cathy speed = 7 mi/h
t = x
Formula
speed = distance/time
Solve for distance
distance = speed x time
d = s x t
Distance travelled by Juan
d = 4t
Distance travelled by Juan in 1.5 h
d = 4(1.5)
d = 6 mi
total distance d = 6 + 4t
Distance travelled by Cathy
d = vt
d = 7t
Equal both equations
6 + 4t = 7t
Solve for t
6 = 7t - 4t
6 = 3t
6/3 = t
2 = t
Cathy wll catch up with Juan in 2 hours
Answer: it take Cathy 3.75 to catch up with Juan
Step-by-step explanation:
Let t represent the time it will take for Cathy to catch up with Juan. At time t hours when Cathy will catch up Juan, they would have covered the same distance.
Juan starts walking at 4 miles per hour.
Distance = speed × ,time
This means that the distance that Juan covered in to hours would be
4 × t = 4t
An hour and a half later, Cathy starts jogging along the same route at 7 miles per hour. Total time spent by Cathy would be t - 1.5
Distance covered by Cathy would be
7(t - 1.5) = 7t - 10.5
Since the distance covered is the sane, the.
4t = 7t - 10.5
7t - 4t = 10.5
3t = 10.5
t = 10.5/3 = 3.5 hours