&nbsp;Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunilgoes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anilreaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is

CAT Question Paper | CAT Verbal Ability Slot

CATKing Student

Question :

Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil
goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil
reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is

Started 1 day ago by Admin in

0 6

A.
18
B.
16
C.
14
D.
12

Option D is the correct answer.

Explanatory Answer

Ratio of the distances, $90 / T = (T + 75) / 90$

T 2 + 75 T = 8100 T 2 + 75 T - 8100 = 0 (T + 135) (T - 60) = 0 T = 60 mins

So, Anil takes $90 + 60 + 75 = 225 m i n s = 3 h r 45 m i n = 3 (3 / 4) = 15 / 4 h r$
Speed of Anil in Km/hr $= 45 / (15 / 4) = 45 * 4 / 15 = 12 k m / h r$