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Two trains P and Q are separated by 220 km on a straight line. One train starts at 8 am from one station A towards B at 40 km/hr and another train starts from B towards A at 9 am at 60 km/hr. At what time will both train will meet?
- a)10:00 am
- b)10:30 am
- c)10:48 am
- d)11:00 am
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two trains P and Q are separated by 220 km on a straight line. One tra...
In one hour first train will cover 40 km, so distance between them remains only 180. Now
x/40 = (180 –x)/60, we get x = 72, so time = 72/40 = 1 hour 48 minutes
so both will meet at 10:48 am
x/40 = (180 –x)/60, we get x = 72, so time = 72/40 = 1 hour 48 minutes
so both will meet at 10:48 am
Most Upvoted Answer
Two trains P and Q are separated by 220 km on a straight line. One tra...
Given information:
- Distance between the two stations, A and B = 220 km
- Train P starts at 8 am from station A towards B at a speed of 40 km/hr
- Train Q starts at 9 am from station B towards A at a speed of 60 km/hr
To find: At what time will both trains meet?
Let's solve this problem step by step:
1. Time travelled by Train P before Train Q starts:
Train Q starts at 9 am, which is 1 hour after Train P starts at 8 am. Therefore, Train P has already been traveling for 1 hour before Train Q starts.
Distance traveled by Train P in 1 hour = Speed × Time = 40 km/hr × 1 hr = 40 km
2. Remaining distance between the trains after Train Q starts:
The remaining distance between the two trains is the initial distance of 220 km minus the distance already traveled by Train P.
Remaining distance = 220 km - 40 km = 180 km
3. Relative speed between the two trains:
The relative speed between the two trains is the sum of their individual speeds.
Relative speed = Speed of Train P + Speed of Train Q = 40 km/hr + 60 km/hr = 100 km/hr
4. Time taken for the trains to meet:
To find the time taken for the two trains to meet, we divide the remaining distance between them by their relative speed.
Time taken = Remaining distance / Relative speed = 180 km / 100 km/hr = 1.8 hours
5. Converting time to minutes:
1.8 hours = 1 hour + 0.8 hour = 1 hour + 0.8 × 60 minutes = 1 hour + 48 minutes
6. Adding the meeting time to the time at which Train Q starts:
Meeting time = 9 am + 1 hour 48 minutes = 9 am + 1 hour + 48 minutes = 10 am + 48 minutes = 10:48 am
Therefore, both trains will meet at 10:48 am, which corresponds to option (c).
- Distance between the two stations, A and B = 220 km
- Train P starts at 8 am from station A towards B at a speed of 40 km/hr
- Train Q starts at 9 am from station B towards A at a speed of 60 km/hr
To find: At what time will both trains meet?
Let's solve this problem step by step:
1. Time travelled by Train P before Train Q starts:
Train Q starts at 9 am, which is 1 hour after Train P starts at 8 am. Therefore, Train P has already been traveling for 1 hour before Train Q starts.
Distance traveled by Train P in 1 hour = Speed × Time = 40 km/hr × 1 hr = 40 km
2. Remaining distance between the trains after Train Q starts:
The remaining distance between the two trains is the initial distance of 220 km minus the distance already traveled by Train P.
Remaining distance = 220 km - 40 km = 180 km
3. Relative speed between the two trains:
The relative speed between the two trains is the sum of their individual speeds.
Relative speed = Speed of Train P + Speed of Train Q = 40 km/hr + 60 km/hr = 100 km/hr
4. Time taken for the trains to meet:
To find the time taken for the two trains to meet, we divide the remaining distance between them by their relative speed.
Time taken = Remaining distance / Relative speed = 180 km / 100 km/hr = 1.8 hours
5. Converting time to minutes:
1.8 hours = 1 hour + 0.8 hour = 1 hour + 0.8 × 60 minutes = 1 hour + 48 minutes
6. Adding the meeting time to the time at which Train Q starts:
Meeting time = 9 am + 1 hour 48 minutes = 9 am + 1 hour + 48 minutes = 10 am + 48 minutes = 10:48 am
Therefore, both trains will meet at 10:48 am, which corresponds to option (c).
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Two trains P and Q are separated by 220 km on a straight line. One train starts at 8 am from one station A towards B at 40 km/hr and another train starts from B towards A at 9 am at 60 km/hr. At what time will both train will meet?a)10:00 amb)10:30 amc)10:48 amd)11:00 ame)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Two trains P and Q are separated by 220 km on a straight line. One train starts at 8 am from one station A towards B at 40 km/hr and another train starts from B towards A at 9 am at 60 km/hr. At what time will both train will meet?a)10:00 amb)10:30 amc)10:48 amd)11:00 ame)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two trains P and Q are separated by 220 km on a straight line. One train starts at 8 am from one station A towards B at 40 km/hr and another train starts from B towards A at 9 am at 60 km/hr. At what time will both train will meet?a)10:00 amb)10:30 amc)10:48 amd)11:00 ame)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains P and Q are separated by 220 km on a straight line. One train starts at 8 am from one station A towards B at 40 km/hr and another train starts from B towards A at 9 am at 60 km/hr. At what time will both train will meet?a)10:00 amb)10:30 amc)10:48 amd)11:00 ame)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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