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 time will they meet? Choose the correct choice from the following answers:  A) 10  B) 07  C) 08  D) 11  E) 04
Explanation :   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   =&gt; 330 = 60x + 75(x-1)   =&gt; 12x + 15(x-1) = 66   =&gt; 12x + 15x - 15 = 66   =&gt; 27x = 66 + 15= 
<gadget id="calculator">66 + 15</gadget>
<output>81</output>
81=&gt; 3x = 9   =&gt; x = 3   Hence the trains meet 3 hours after 8 a.m., i.e. at 11 a.m.   Answer : 11
<result>D</result>
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 time will they meet?