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 milesper hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 milesper 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?

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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

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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Test: Distance And Speed- 2

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John leaves from his home at 10 AM and starts driving towards a city t...

Given:

Home – City distance = 300 km
John:
- Speed = 50 miles per hour (Note that the distance is given in kilometers and John’s speed is given in miles per hour)
  - 1 mile = 1.6 kilometers
- Time of start= 10 AM
Martin:
- Speed = 60 miles per hour
- Time of start = 11:30 AM

To Find: Which of the 3 statements must be true?

Approach:

1. We will evaluate the 3 statements one by one

Working out:

Evaluating Statement I
- To evaluate this statement, we need to find the time at which John reaches the city and the time at which Martin reaches the city
- John:
  - Speed = 50 miles per hour = 50*1.6 kilometers per hour
  - So, time (hours) =
  - John starts at 10 AM
  - So, John reaches the city at 10 AM + 3 hours 45 min = 1:45 PM
- Martin:
  - Speed = 60 miles per hour = 60*1.6 kilometers per hour
  - So, time (hours) =
  - Martin starts at 11:30 AM
  - So, Martin reaches the city at 11:30 AM + 3 hours 7.5 min = 2: (37.5) PM
- Therefore, Statement I is indeed true
Evaluating Statement II
- At 1:30 PM, John has been travelling for (1:30 PM – 10 AM =) 3.5 hours and Martin for (1:30 PM – 11:30 AM =) 2 hours

So, distance between them at 1:30 PM = 280 – 192 = 88 km
Therefore, Statement II is not true

Evaluating Statement III
- In our analysis of Statement I, we’ve already seen that John reached the city before Martin. Since both of them stop driving once they reach the city, Martin never manages to overtake John (and none of them are still driving at 4 PM)
- Therefore, Statement III is not true.
Getting to the answer
- Thus, we see that out of the 3 statements, only Statement I is true.

Looking at the answer choices, we see that 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 milesper hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 milesper 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?

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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 milesper hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 milesper 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 milesper hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 milesper 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 milesper hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 milesper 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?.

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