aptitude

Question

a train x travelling at 100km/hr start from agra at 5 pm and reaches delhi at 11 pm . another train y travelling at

120 km/hr start from delhi at 6 pm and reaches agra at 11 pm .at what time train will meet ?????????????????????????

Answer 1

For this question let us take any time T>6 pm when the two trains meet.

the total distance between these two stations (D)=speed of either train * the time taken by that train=120*5 OR 100*6=600 km

now at time T, the train moving from agra to delhi must have covered=(T-5)*100 km 

and The train moving from delhi to agra must have covered= (T-6)*120 km

As the two trains meet here therefore the sum of the distances covered by both trains should be equal to the total distance between Agra and Delhi.

So,   (T-5)*100+(T-6)*120=600

Solving this we get T= 91/11 or 8:16 pm

Comments

Your final answer is correct but it's 25/11 (Not 91/11).

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I don't know how you got 25/11 but if there is any doubt I have attached a step by step solution to equation below:

If you are subtracting 6 from 91/11 to get 25/11 then please don't because T is absolute time in 12 hours format and what is the point in getting 25/11 and then adding it again to 6:00 pm to get absolute 8:16pm

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thats right