Carcass wrote:
One hour after Conor started walking from A to B, a distance of 37 miles, Hannah started walking along the same road from B to A. If Conor’s walking rate was 2 miles per hour and Hannah’s was 5 miles per hour, how many miles had Hannah walked when they met?
(A) 10
(B) 17.5
(C) 18.5
(D) 25
(E) 27
In the first hour, conor would have walked 2 miles and only then Hannah starts.
so remaining distance is 35 miles.
Distance traveled is Speed * time. So Hannah traveled 5 * t , t is the time when they meet.
Similarly Conor traveled 2 * t. And since when they meet the distance covered will be 35.
hannah distance + conor distance = 35
hannah distance/5 = conor distance/2 since time taken is same.
so solving hannah distance, she would have traveled 25 miles to met Conor.
Answer is D)