Q22) Three men A, B and C travel according to the following plan:

A, B and C start travelling and their journey has been carefully jotted out in the statements given below.Following are the ten destinations P, Q, R, ..., W, X and Y with respect to point

e.g., ‘P’ is 6 km east and 4 km south of point ‘O’.

There are only three travelling speeds:

Speed ‘a’: 4 minutes for each km.

Speed ‘b’: 5 minutes for each km.

Speed ‘c’: 6 minutes for each km.

‘A’ starts from point ‘O’, moves north at speed ‘a’ for 12 minutes, turns right moves for 12 km at speed ‘b’, turns towards south and travels at certain constant speed for 14 km. Turns left again and travels at speed ‘c’ for 4 km before finally halting there.
‘B’ starting from ‘O’ travels east for 24 min at the fastest speed, moves south and travels for another 8 km at speed ‘a’, turns left travels for 13 km at speed ‘c’. Then turns south and travels for 3 km at speed 'a' and finally stops.
‘C’, however, does not start from point ‘O’. He starts from a certain point south of ‘O’, travels east for 1 hr. 28 min at speed ‘a’, turns south and travels for another 24 min at speed ‘c’, turns right, travels at speed ‘c’ for 5 km before turning left, then travels for 3 km at speed ‘a’ and finally stops there.
‘C’ starts at 11:58 hrs and ‘A’ and ‘B’ start simultaneously at 12:00 hrs.

If ‘A’ reaches intersection ‘Q’, 100 min after leaving ‘O’. What time shall he stop if he started from ‘O’ at 12:00 hrs?

a)14:30 hrs

b)14:32 hrs

c)14:20 hrs

d)None of these

If ‘C’ travels straight and passes intersection ‘P’ and ‘Q’ at 12:22 hrs and 12:46 hrs respectively, where does ‘C’ start from?

a) (6E, 2N)

b) Destination ‘Y’

c) (12E, 4S)

d) None of these

What is the maximum distance covered by any of the three men at 14:00 hrs?

a) 27 km

b) 82/3

c) 49/2

d) Cannot be determined