Two trains are moving in opposite direction on same track. When their separation was 600m their drivers notices the mistake and starts slowing down to avoid collision Graphs of their velocities as function of time is as shown, find separation between the drivers when first train stops:

Options

A. 100M
B. 160M
C. 112M
D. 124m

Explanation

Distance travelled by first train in 8 sec
`S_(1)=(1)/(2)(8)(50)=200m`
Distance travelled by second train in 8 sec.
`S_(2)=60(8)+(1)/(2)(-6)(8)^(2)=288m`
separation between the drivers
`=600-(200+288)=112m`