The distance between Ahmedabad and Surat is 300 km. Two trains set off simultaneously towards each other with speeds 60 km/h and 40 km/h respectively. When will they cross each other?

The distance between Ahmedabad and Surat is 300 km. Two trains set off

1.	The distance between Ahmedabad and Surat is 300 km. Two trains set off simultaneously towards each other with speeds 60 km/h and 40 km/h respectively. When will they cross each other?
Answer» 3 hours 15 hours `1/3` hours `4/3` hours Solution :`v _(1) = (108 xx 1000)/(3600) = 30m//s, v _(2) = (72 xx 1000)/(3600) = 20 m//s.` Initial velocity of SHATABDI Express `v _(0) = v _(12) = v _(1) -v _(2) ` `v _(0) = 30 - 20 = 10 ms ^(-1)` Now `v ^(2) =v _(0) ^(2) + 2ad` Putting `v =0, v _(0) =10 ms ^(-1), d=50 m,` `0= 100 + 2 xx a xx 50` `therefore a xx 100 =- 100` `therefore a =-1` `therefore -a =1 ms ^(-2)` `therefore` DECELERATION `=1 ms ^(-2)`