Two friends separated by a certain distance start walking towards each other. When they meet one of them has walked 30 meters more than the other. If the ratio of the distances that each has covered is 2 : 3, find the distance that originally separated them.

A. 30

B. 60

C. 90

D. 120

E. 150

We may set their walking distances as 2x and 3x, then the difference is x which is also 30 meters since one has walked 20 meters more than the other. Then the walking distances are 60 and 90, originally they were separated by 60 + 90 = 150.

Ans: E

A. 30

B. 60

C. 90

D. 120

E. 150

Solution:Solution:

We may set their walking distances as 2x and 3x, then the difference is x which is also 30 meters since one has walked 20 meters more than the other. Then the walking distances are 60 and 90, originally they were separated by 60 + 90 = 150.

Ans: E