Edwin is planning to drive from Boston to New Orleans. By what percent would his travel time be reduced if Edwin decides to split the driving time equally with his friend George, instead of making the trip alone?
(1) The driving distance from Boston to New Orleans is 1500 miles.
(2) George’s driving speed is 1.5 times Edwin’s driving speed.
Statement 1 : Does not tell us either Edwin'speed or George's. Hence we cannot calculate time taken in any scenario. INSUFFICIENT
Statement 2 : Let distance be d
Time taken originally = d/s
Now in second scenario Edwin drives k miles and George drives d-k miles
Therefore time taken = k/s + d-k/(1.5s)
k/s = (d-k) / (1.5)s ... Given
d=2.5k
Therefore original time taken = 2.5k /sNew time taken = k/s + (1.5k/1.5s)
= (2k)/s
Reduction is 0.5 k/s
Therefore percent reduction is 20%SUFFICIENT
_________________
Appreciate any KUDOS given !