Distance between Bangalore and Chennai is 330kms. A train starts from Bangalore to Chennai starts at 6am at a constant speed of 75kmph. Whereas another train starts from Chennai to Bangalore at 5am at the speed of 60kmph. At what time do they cross each other?Question 8Answera.7amb.9amc.8amd.8:30am
Question
Distance between Bangalore and Chennai is 330kms. A train starts from Bangalore to Chennai starts at 6am at a constant speed of 75kmph. Whereas another train starts from Chennai to Bangalore at 5am at the speed of 60kmph. At what time do they cross each other?Question 8Answera.7amb.9amc.8amd.8:30am
Solution
To solve this problem, we need to find out when the two trains will meet. This will happen when the sum of the distances each train has traveled equals the total distance between the two cities.
Step 1: Calculate the distance covered by the train from Chennai to Bangalore before the train from Bangalore starts. This train starts at 5am and the other train starts at 6am, so it has been running for 1 hour at a speed of 60kmph. Therefore, it covers 60km in this hour.
Step 2: Subtract this distance from the total distance between the two cities. The total distance is 330km, so after the first train has traveled 60km, there is 330km - 60km = 270km left.
Step 3: Now, both trains are running towards each other, one at 75kmph and the other at 60kmph. Their combined speed is 75kmph + 60kmph = 135kmph.
Step 4: Calculate the time it takes for the trains to cover the remaining distance. Time = Distance/Speed, so Time = 270km / 135kmph = 2 hours.
Step 5: Add this time to the time when the second train started. The train from Bangalore started at 6am, so the two trains meet at 6am + 2 hours = 8am.
So, the answer is (b) 8am.
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