Ram and Shakil run a race of 2000 meters. First, Ram gives Shakil a start of 200 meters and beats him by one minute. If , Ram gives Shakil a start of 6 minutes Ram is beaten by 1000 meters. Find the time in minutes in which Ram and Shakil can run the races separately.

Consider that r be velocity of ram and s be the velocity of Shakil,
then,  
        (2000/r)=(1800/s)-60                                            ......(1)


second case

distance Shakil travel in 6 min=360s  
Therefore,
again equating time for both
                        1000/r=(2000-360 s)/s                           .......(2)

On solving the equations (1) &(2) 
                         s=20/6
putting value in first 
Therefore,
                         time =480 sec
                                 =8 min