1.

The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 Km/hr. At what ti

Answer»

11 a.m



Assume that they meet x hours after 8 a.m. 
Then,train1,starting from A , travelling towards B, travels x hours till the trains meet
⇒Distance TRAVELLED by train1 in x hours = Speed ×Time = 60x

Then, train2, starting from B , travelling towards A, travels (x-1) hours till the trains meet

⇒Distance travelled by train2 in (x-1) hours = Speed ×Time = 75(x-1)

Total distance travelled = Distance travelled by train1 + Distance travelled by train2

=> 330 = 60x + 75(x-1)

=> 12x + 15(x-1) = 66

=> 12x + 15x - 15 = 66

=> 27X = 66 + 15 = 81

=> 3X = 9

=> x = 3

Hence the trains meet 3 hours after 8 a.m., i.e. at 11 a.m.


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