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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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