Question 73

The distance between two stations is 500 km. A train starts from station ‘A’ at 9 am and travels towards station ‘B’ at 60 km/hrs. Anothertrain starts from station ‘B’ at 10 am and travels towards ‘A’ at 40 km/hrs. At what time both thetrain meet to each other.

Solution

The distance between two stations is 500 km. A train starts from station ‘A’ at 9 am and travels towards station ‘B’ at 60 km/hrs. Another train starts from station ‘B’ at 10 am and travels towards ‘A’ at 40 km/hrs.

In 1 hour, train A travels $$60\times 1 = 60 kms$$

Therefore, distance remaining between A and B at 10 am = $$500-60= 440$$

time both the train meet to each other $$=\frac{440}{60+40} = 4.4 hrs = 4\frac{4\times60}{10}hrs =4.24hrs$$

They meet at $$10am + 4.24hrs = 2.24 p.m$$

Option D is correct.


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