OG -12 DS #87

[abhinav11]

87. Is the number of seconds required to travel d1 feet at
r1 feet per second greater than the number of seconds
required to travel d2 feet at r2 feet per second?
(1) d1 is 30 greater than d2.
(2) r1 is 30 greater than r2.

Can any one please clear my doubt regarding why both statements together cant be true ??

[Anurag@Gurome]

Can any one please clear my doubt regarding why both statements together cant be true ??

We need to determine whether d1/r1 is greater than d2/r2 or not.


Consider the following cases,

• ## d1 = 50, d2 = 20 and r1 = 40, r2 = 10
  • d1/r1 = 50/40 = 5/4 = 1.25 and d2/r2 = 20/10 = 2
    Hence, d1/r1 < d2/r2
  ## d1 = 40, d2 = 10 and r1 = 50, r2 = 20
  • d1/r1 = 40/50 = 4/5 = 0.8 and d2/r2 = 10/20 = 1/2 = 0.5
    Hence, d1/r1 > d2/r2

Hope that helps.