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First train starts from station A at 6 am and reaches station B at 4 pm and second train started from B at 7 am and reaches A at 3 pm. Then, find the time at which both the trains meet each other.?
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First train starts from station A at 6 am and reaches station B at 4 p...
Meeting Time of the Trains
Given Information:
- First train starts from station A at 6 am and reaches station B at 4 pm
- Second train starts from station B at 7 am and reaches station A at 3 pm
Calculating the Time of Travel for Each Train:
- Time taken by the first train: 4 pm - 6 am = 10 hours
- Time taken by the second train: 3 pm - 7 am = 8 hours
Calculating the Relative Speed of the Trains:
- Speed of the first train = Distance / Time = Distance / 10 hours
- Speed of the second train = Distance / 8 hours
Finding the Time of Meeting:
- Let the trains meet x hours after the second train leaves station B
- Distance covered by the first train in x hours = Speed of the first train * x
- Distance covered by the second train in (x - 1) hours = Speed of the second train * (x - 1)
- Since both trains cover the same distance when they meet, we can set up the equation:
Distance covered by the first train = Distance covered by the second train
Speed of the first train * x = Speed of the second train * (x - 1)
Solving for x:
- Distance / 10 * x = Distance / 8 * (x - 1)
- x/10 = (x-1)/8
- 8x = 10x - 10
- 2x = 10
- x = 5
Therefore, the trains will meet 5 hours after the second train leaves station B.
Given Information:
- First train starts from station A at 6 am and reaches station B at 4 pm
- Second train starts from station B at 7 am and reaches station A at 3 pm
Calculating the Time of Travel for Each Train:
- Time taken by the first train: 4 pm - 6 am = 10 hours
- Time taken by the second train: 3 pm - 7 am = 8 hours
Calculating the Relative Speed of the Trains:
- Speed of the first train = Distance / Time = Distance / 10 hours
- Speed of the second train = Distance / 8 hours
Finding the Time of Meeting:
- Let the trains meet x hours after the second train leaves station B
- Distance covered by the first train in x hours = Speed of the first train * x
- Distance covered by the second train in (x - 1) hours = Speed of the second train * (x - 1)
- Since both trains cover the same distance when they meet, we can set up the equation:
Distance covered by the first train = Distance covered by the second train
Speed of the first train * x = Speed of the second train * (x - 1)
Solving for x:
- Distance / 10 * x = Distance / 8 * (x - 1)
- x/10 = (x-1)/8
- 8x = 10x - 10
- 2x = 10
- x = 5
Therefore, the trains will meet 5 hours after the second train leaves station B.
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First train starts from station A at 6 am and reaches station B at 4 pm and second train started from B at 7 am and reaches A at 3 pm. Then, find the time at which both the trains meet each other.?
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First train starts from station A at 6 am and reaches station B at 4 pm and second train started from B at 7 am and reaches A at 3 pm. Then, find the time at which both the trains meet each other.? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about First train starts from station A at 6 am and reaches station B at 4 pm and second train started from B at 7 am and reaches A at 3 pm. Then, find the time at which both the trains meet each other.? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for First train starts from station A at 6 am and reaches station B at 4 pm and second train started from B at 7 am and reaches A at 3 pm. Then, find the time at which both the trains meet each other.?.
First train starts from station A at 6 am and reaches station B at 4 pm and second train started from B at 7 am and reaches A at 3 pm. Then, find the time at which both the trains meet each other.? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about First train starts from station A at 6 am and reaches station B at 4 pm and second train started from B at 7 am and reaches A at 3 pm. Then, find the time at which both the trains meet each other.? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for First train starts from station A at 6 am and reaches station B at 4 pm and second train started from B at 7 am and reaches A at 3 pm. Then, find the time at which both the trains meet each other.?.
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