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QA train leaves Delhi at 6:00 a.m. and arrives in Meerut at 10:00 a.m. The other train from Meerut at 8 a.m. and arrives in Delhi at 11:30 a.m. If the distance between Delhi and Meerut is 200 kilometres, when did the two trains meet?
ID: #4675
Time and Distance
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Time and DistanceTopic
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The speed of the first train is given as 50 km/h and the speed of the second train is given as 400/7 km/h. The time at which the two trains will meet is given as x hours after 6:00 a.m. The distance between the starting points of the two trains is given as 200 km. We can use the speeds of the trains, the time at which they will meet, and the distance between their starting points to find the required time. Since the speed of the first train is 50 km/h and the speed of the second train is 400/7 km/h, we can set up the following equation: x * 50 + (x - 2) * 400/7 = 200. Solving for x, we get x = 2200/750. The required time is given as x hours after 6:00 a.m. Plugging in the value of x that we found in step 5, we get the required time as 8:56 a.m. Therefore, the two trains will meet at 8:56 a.m.
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