emily and fran live 38 mi apart. at 2pm emily starts walking to fran's house at 4mph fran leaves 20min later and begins jogging towards emily's house at 6mph find time when they will meet

Question

this question is from a worksheet that I don't know how to solve

Answer 1

38 miles apart

Fran starts at 2pm going 4 mph

Emily starts at 2:20 pm going 6 mph

d=rt

20 minutes= 1/3 hour less for Emily

4t+ 6(t-1/3) = 38

10t = 38+2 = 40

t=40/10

t =4

they meet at 2+4 = 6 pm

4x4= 16 miles for Fran in 4 hours

3 2/3 x 6 = 22 miles for Emily in 3 hours and 40 minutes

22+16=38 miles total

Answer 2

d = r * t

38 = d_Emily + d_Fran

Can you substitute values and answer?