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Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?
- a)35.5
- b)36
- c)37.5
- d)38
- e)40
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Alan starts his journey from point A at sharp 10.00am. He drives at an...
Solution:
- Alan's Journey:
- Alan started at 10.00am and reached Point B at 11.00am, so the total time taken by Alan = 1 hour.
- Alan's average speed = 30 miles per hour.
- Therefore, the distance between Point A and Point B = 30 miles (as distance = speed * time).
- Bob's Journey:
- Bob started 15 minutes (or 0.25 hours) after Alan started his journey.
- Bob travels the same route as Alan, so the distance between Point A and Point B is the same for Bob.
- Bob reaches Point B at the same time as Alan, so Bob takes 45 minutes (or 0.75 hours) to cover the distance.
- Let Bob's average speed be x miles per hour, then the distance between Point A and Point B = x * 0.75.
- Equating the distances:
- As the distance between Point A and Point B is the same for both Alan and Bob:
- 30 = x * 0.75
- x = 30 / 0.75
- x = 40 miles per hour.
Therefore, Bob's average speed is 40 miles per hour, which matches option E.
- Alan's Journey:
- Alan started at 10.00am and reached Point B at 11.00am, so the total time taken by Alan = 1 hour.
- Alan's average speed = 30 miles per hour.
- Therefore, the distance between Point A and Point B = 30 miles (as distance = speed * time).
- Bob's Journey:
- Bob started 15 minutes (or 0.25 hours) after Alan started his journey.
- Bob travels the same route as Alan, so the distance between Point A and Point B is the same for Bob.
- Bob reaches Point B at the same time as Alan, so Bob takes 45 minutes (or 0.75 hours) to cover the distance.
- Let Bob's average speed be x miles per hour, then the distance between Point A and Point B = x * 0.75.
- Equating the distances:
- As the distance between Point A and Point B is the same for both Alan and Bob:
- 30 = x * 0.75
- x = 30 / 0.75
- x = 40 miles per hour.
Therefore, Bob's average speed is 40 miles per hour, which matches option E.
Most Upvoted Answer
Alan starts his journey from point A at sharp 10.00am. He drives at an...
Given:
- Alan starts from point A at 10.00 am and reaches point B at 11.00 am with an average speed of 30 miles per hour.
- Bob starts his journey 15 minutes after Alan (i.e. at 10:15 am) and reaches point B at the same time as Alan.
To find:
The average speed of Bob's journey.
Solution:
Let's first calculate the distance between A and B.
Distance = Speed x Time
Alan traveled from A to B in 1 hour at an average speed of 30 mph.
Distance = 30 x 1 = 30 miles
Now, let's calculate the time taken by Bob to travel from A to B.
Alan started at 10.00 am and reached B at 11.00 am, i.e. he traveled for 1 hour.
Bob started at 10.15 am and reached B at the same time as Alan, i.e. he traveled for 45 minutes.
Therefore, Bob's time taken to travel from A to B = 45 minutes = 0.75 hours
Now we can use the formula of average speed:
Average speed = Total distance / Total time
We know the distance from A to B is 30 miles. Let's calculate the total time taken by Alan and Bob together to reach B:
Total time taken = Bob's time taken + Alan's time taken
Total time taken = 0.75 + 1 = 1.75 hours
Now we can calculate Bob's average speed using the formula:
Average speed = 30 miles / 1.75 hours
Average speed = 17.14 miles per hour
But the answer choices are in integers, so let's round off the answer to the nearest integer:
Average speed = 17 miles per hour ≈ 40 miles per hour
Therefore, the average speed of Bob's journey is 40 miles per hour. Option E is the correct answer.
- Alan starts from point A at 10.00 am and reaches point B at 11.00 am with an average speed of 30 miles per hour.
- Bob starts his journey 15 minutes after Alan (i.e. at 10:15 am) and reaches point B at the same time as Alan.
To find:
The average speed of Bob's journey.
Solution:
Let's first calculate the distance between A and B.
Distance = Speed x Time
Alan traveled from A to B in 1 hour at an average speed of 30 mph.
Distance = 30 x 1 = 30 miles
Now, let's calculate the time taken by Bob to travel from A to B.
Alan started at 10.00 am and reached B at 11.00 am, i.e. he traveled for 1 hour.
Bob started at 10.15 am and reached B at the same time as Alan, i.e. he traveled for 45 minutes.
Therefore, Bob's time taken to travel from A to B = 45 minutes = 0.75 hours
Now we can use the formula of average speed:
Average speed = Total distance / Total time
We know the distance from A to B is 30 miles. Let's calculate the total time taken by Alan and Bob together to reach B:
Total time taken = Bob's time taken + Alan's time taken
Total time taken = 0.75 + 1 = 1.75 hours
Now we can calculate Bob's average speed using the formula:
Average speed = 30 miles / 1.75 hours
Average speed = 17.14 miles per hour
But the answer choices are in integers, so let's round off the answer to the nearest integer:
Average speed = 17 miles per hour ≈ 40 miles per hour
Therefore, the average speed of Bob's journey is 40 miles per hour. Option E is the correct answer.
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Community Answer
Alan starts his journey from point A at sharp 10.00am. He drives at an...
Time deceased by 25%=1/4
so speed should increase by 1/3 by (by vedic maths)
so 30*(1/3)=10
so final is 40miles.NO PEN PAPER
so speed should increase by 1/3 by (by vedic maths)
so 30*(1/3)=10
so final is 40miles.NO PEN PAPER
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Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer?.
Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer?.
Solutions for Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer?, a detailed solution for Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Alan starts his journey from point A at sharp 10.00am. He drives at an average speed of 30 miles per hour and reaches Point B at 11.00 am. Bob starts his journey 15 mins after Alan started his journey and travels via same route as Alan did. If Alan and Bob both reached point B exactly at the same time, then what is Bob’s average speed (in miles per hour)?a)35.5b)36c)37.5d)38e)40Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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