Question 96962
let the total distance by 2d

hence time taken by Eddy 2d/150
                         =d/75

Time taken by Robert  is d/160 + d/140

                        = 300d/160*140
                        =3d/224

to compare which of the times is larger 
we rewrite the fraction d/75 as 3d/225 (multiplying the numerator and denominator by 3)

so time taken by Eddy is 3d/225
time taken  by Robert is 3d/224

clearly
3d/225 < 3d/224         Since denominator is larger in the fraction

Hence Eddy is the winner