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John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)
I. John reaches the city before Martin
II. At 1:30 PM, John is 55 kilometres ahead of Martin
III. Martin overtake John at 4 PM
II. At 1:30 PM, John is 55 kilometres ahead of Martin
III. Martin overtake John at 4 PM
- a)I only
- b)II only
- c)III only
- d)I and II only
- e)II and III only
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
John leaves from his home at 10 AM and starts driving towards a city t...
John's travel time:
Distance = Speed × Time
300 km = (50 miles/hour) × (1.6 km/mile) × Time
Time = 300 km / (50 × 1.6) hour
Time = 3 hours
Distance = Speed × Time
300 km = (50 miles/hour) × (1.6 km/mile) × Time
Time = 300 km / (50 × 1.6) hour
Time = 3 hours
Martin's travel time:
Distance = Speed × Time
300 km = (60 miles/hour) × (1.6 km/mile) × Time
Time = 300 km / (60 × 1.6) hour
Time = 2.5 hours
Distance = Speed × Time
300 km = (60 miles/hour) × (1.6 km/mile) × Time
Time = 300 km / (60 × 1.6) hour
Time = 2.5 hours
Now, let's evaluate each statement:
I. John reaches the city before Martin.
John's travel time is 3 hours, while Martin's travel time is 2.5 hours. Since John started earlier, he will reach the city before Martin. So, statement I is true.
John's travel time is 3 hours, while Martin's travel time is 2.5 hours. Since John started earlier, he will reach the city before Martin. So, statement I is true.
II. At 1:30 PM, John is 55 kilometers ahead of Martin.
John started at 10 AM and travels for 3 hours. At 1:30 PM, he has been driving for 3.5 hours. The distance he has covered is:
Distance = Speed × Time
Distance = (50 miles/hour) × (1.6 km/mile) × (3.5 hours)
Distance = 280 km
John started at 10 AM and travels for 3 hours. At 1:30 PM, he has been driving for 3.5 hours. The distance he has covered is:
Distance = Speed × Time
Distance = (50 miles/hour) × (1.6 km/mile) × (3.5 hours)
Distance = 280 km
Martin started at 11:30 AM and travels for 2.5 hours. At 1:30 PM, he has been driving for 2 hours. The distance he has covered is:
Distance = Speed × Time
Distance = (60 miles/hour) × (1.6 km/mile) × (2 hours)
Distance = 192 km
Distance = Speed × Time
Distance = (60 miles/hour) × (1.6 km/mile) × (2 hours)
Distance = 192 km
The difference in distance between John and Martin at 1:30 PM is:
280 km - 192 km = 88 km
280 km - 192 km = 88 km
So, statement II is false.
III. Martin overtakes John at 4 PM.
John reaches the city in 3 hours, so he arrives at 1 PM. Martin's travel time is 2.5 hours, so he arrives at 2 PM. Martin cannot overtake John at 4 PM because John has already reached the city by then. So, statement III is false.
John reaches the city in 3 hours, so he arrives at 1 PM. Martin's travel time is 2.5 hours, so he arrives at 2 PM. Martin cannot overtake John at 4 PM because John has already reached the city by then. So, statement III is false.
Based on our analysis, statement I is the only true statement. Therefore, the correct answer is option A: I only.
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Community Answer
John leaves from his home at 10 AM and starts driving towards a city t...
To determine the correct statement(s), let's analyze the situation step by step.
John:
- Leaves home at 10 AM
- Drives at a constant speed of 50 miles per hour
- Distance to the city: 300 kilometers
Martin:
- Leaves home at 11:30 AM
- Drives at a constant speed of 60 miles per hour
- Distance to the city: 300 kilometers
I. John reaches the city before Martin
To determine if John reaches the city before Martin, we need to calculate the time it takes for each of them to reach the city.
For John:
Distance = Speed × Time
300 kilometers = (50 miles/hour) × Time
As we know that 1 mile is equal to 1.6 kilometers, we can convert the speed from miles per hour to kilometers per hour:
50 miles/hour × 1.6 kilometers/mile = 80 kilometers/hour
Now we can calculate the time it takes for John to reach the city:
Time = Distance / Speed
Time = 300 kilometers / 80 kilometers/hour
Time ≈ 3.75 hours
For Martin:
Distance = Speed × Time
300 kilometers = (60 miles/hour) × Time
Converting the speed to kilometers per hour:
60 miles/hour × 1.6 kilometers/mile = 96 kilometers/hour
Calculating the time it takes for Martin to reach the city:
Time = Distance / Speed
Time = 300 kilometers / 96 kilometers/hour
Time ≈ 3.125 hours
Since 3.125 hours is less than 3.75 hours, John reaches the city before Martin.
Therefore, statement I is true.
II. At 1:30 PM, John is 55 kilometers ahead of Martin
To determine if John is 55 kilometers ahead of Martin at 1:30 PM, we need to calculate the distances they have traveled by that time.
For John:
Time = 1:30 PM - 10 AM = 3.5 hours
Distance = Speed × Time
Distance = 80 kilometers/hour × 3.5 hours
Distance = 280 kilometers
For Martin:
Time = 1:30 PM - 11:30 AM = 2 hours
Distance = Speed × Time
Distance = 96 kilometers/hour × 2 hours
Distance = 192 kilometers
John is ahead of Martin by:
280 kilometers - 192 kilometers = 88 kilometers
Therefore, statement II is not true.
III. Martin overtakes John at 4 PM
To determine if Martin overtakes John at 4 PM, we need to compare their distances traveled by that time.
For John:
Time = 4 PM - 10 AM = 6 hours
Distance = Speed × Time
Distance = 80 kilometers/hour × 6 hours
Distance = 480 kilometers
For Martin:
Time = 4 PM - 11:30 AM = 4.5 hours
Distance = Speed × Time
Distance = 96 kilometers/hour × 4.5 hours
Distance = 432 kilometers
Since 480 kilometers is greater than 432 kilometers, Martin does not overtake John at 4 PM.
Therefore, statement III is not true.
In conclusion, the only true statement is I. John reaches the city before Martin. Therefore, the correct answer is option A.
John:
- Leaves home at 10 AM
- Drives at a constant speed of 50 miles per hour
- Distance to the city: 300 kilometers
Martin:
- Leaves home at 11:30 AM
- Drives at a constant speed of 60 miles per hour
- Distance to the city: 300 kilometers
I. John reaches the city before Martin
To determine if John reaches the city before Martin, we need to calculate the time it takes for each of them to reach the city.
For John:
Distance = Speed × Time
300 kilometers = (50 miles/hour) × Time
As we know that 1 mile is equal to 1.6 kilometers, we can convert the speed from miles per hour to kilometers per hour:
50 miles/hour × 1.6 kilometers/mile = 80 kilometers/hour
Now we can calculate the time it takes for John to reach the city:
Time = Distance / Speed
Time = 300 kilometers / 80 kilometers/hour
Time ≈ 3.75 hours
For Martin:
Distance = Speed × Time
300 kilometers = (60 miles/hour) × Time
Converting the speed to kilometers per hour:
60 miles/hour × 1.6 kilometers/mile = 96 kilometers/hour
Calculating the time it takes for Martin to reach the city:
Time = Distance / Speed
Time = 300 kilometers / 96 kilometers/hour
Time ≈ 3.125 hours
Since 3.125 hours is less than 3.75 hours, John reaches the city before Martin.
Therefore, statement I is true.
II. At 1:30 PM, John is 55 kilometers ahead of Martin
To determine if John is 55 kilometers ahead of Martin at 1:30 PM, we need to calculate the distances they have traveled by that time.
For John:
Time = 1:30 PM - 10 AM = 3.5 hours
Distance = Speed × Time
Distance = 80 kilometers/hour × 3.5 hours
Distance = 280 kilometers
For Martin:
Time = 1:30 PM - 11:30 AM = 2 hours
Distance = Speed × Time
Distance = 96 kilometers/hour × 2 hours
Distance = 192 kilometers
John is ahead of Martin by:
280 kilometers - 192 kilometers = 88 kilometers
Therefore, statement II is not true.
III. Martin overtakes John at 4 PM
To determine if Martin overtakes John at 4 PM, we need to compare their distances traveled by that time.
For John:
Time = 4 PM - 10 AM = 6 hours
Distance = Speed × Time
Distance = 80 kilometers/hour × 6 hours
Distance = 480 kilometers
For Martin:
Time = 4 PM - 11:30 AM = 4.5 hours
Distance = Speed × Time
Distance = 96 kilometers/hour × 4.5 hours
Distance = 432 kilometers
Since 480 kilometers is greater than 432 kilometers, Martin does not overtake John at 4 PM.
Therefore, statement III is not true.
In conclusion, the only true statement is I. John reaches the city before Martin. Therefore, the correct answer is option A.
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John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer?
Question Description
John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer?.
John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer?.
Solutions for John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)I. John reaches the city before MartinII. At 1:30 PM, John is 55 kilometres ahead of MartinIII. Martin overtake John at 4 PMa)I onlyb)II onlyc)III onlyd)I and II onlye)II and III onlyCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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