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Select the correct answerA train sets off at 2 p.m. at the speed of 70 km/hr. Another train starts at 3:30 p.m. in the same direction at the rate of 85 km/hr. At what time the trains will meet?Options9 am10 am10:30 pm9:30 am

Question

Select the correct answerA train sets off at 2 p.m. at the speed of 70 km/hr. Another train starts at 3:30 p.m. in the same direction at the rate of 85 km/hr. At what time the trains will meet?Options9 am10 am10:30 pm9:30 am

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Solution

Sure, let's solve this step by step:

  1. First, we need to find out how far the first train has traveled by the time the second train starts. The first train starts at 2 p.m. and the second train starts at 3:30 p.m., so the first train has been traveling for 1.5 hours. At a speed of 70 km/hr, in 1.5 hours it would have traveled 70 km/hr * 1.5 hr = 105 km.

  2. Now, we need to find out how long it will take for the second train to catch up to the first train. The second train is traveling at a speed of 85 km/hr and the first train is traveling at a speed of 70 km/hr, so the second train is catching up at a rate of 85 km/hr - 70 km/hr = 15 km/hr.

  3. To find out how long it will take for the second train to catch up, we divide the distance the first train has traveled by the rate at which the second train is catching up: 105 km / 15 km/hr = 7 hours.

  4. The second train starts at 3:30 p.m., so 7 hours later it would be 10:30 p.m. Therefore, the trains will meet at 10:30 p.m.

So, the correct answer is 10:30 pm.

This problem has been solved

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