ruchi857 wrote:
Scott starts jogging from Point X to Point Y. A half hour later his friend Garrett who jogs 1 mile per hour slower than twoce Scott's rate starts from the same point and follows the same path. If Garrett overtakes Scott in 2 hours, how many miles will garett have covered?
A. 2.5
B. 3.5
C. 4
D. 4.2
I solved this in following approach:
Garett's rate (miles/hour) = 2x-1
Scott's rate (miles/hour) = x
Distance needs to be equated therefore (2x-1)*2 = x*2.5
X = 4/3; therefore distance of garett is 3.5
What are other approaches to solvin this
You approach is perfectly fine here.
A minor change can be incorporated in the following way:
Garett's rate (miles/hour) = 2x-1
Scott's rate (miles/hour) = x
Since both are walking in the same direction, relative speed = 2x - 1 - x = x - 1
Relative distance between them = distance covered by Scott in the initial half hour = x/2
x/2 = (x - 1)*2
x = 4x - 4
x = 4/3 miles/hour
Distance covered by Garret in 2 hours = (2(4/3) - 1)*2 = 10/3
Correct Option: B
However, I too agree with Karishma on this not being a GMAT type question.