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Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)
- a)
- b)
- c)
- d)
- e)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Emily rode x miles from her home at a speed of p miles per hour before...
Given:
Let’s call Emily’s journey from her home till she meets her friend as her “Forward Journey” and her journey from when she meets her friend till her home as her “Return Journey”
Forward Journey
- Home to “Ran out of fuel” point
- Distance travelled = x miles
- Driving speed = p miles per hour
- Let the time taken be t1 hours.
- “Ran out of fuel” point till she meets her friend
- Speed of walking= 8 meters per minute
- Let the distance covered be y miles
- Let the time taken while walking = t2 hours.
- Total distance covered in Forward Journey = (x + y) miles
Return Journey
- From when Emily meets her friend to Home
- Total distance travelled = (x + y) miles
- Distance in forward journey = Distance covered in return journey
- Speed of driving = 50% more than p miles per hour
- Let the total time taken for the return journey be t3 hours.
- Total distance travelled = (x + y) miles
So our DST table would look like this:
*(t1 + t2 + t3) = t hours
To Find: How many miles she has walked her motorcycle = y = ?
Linkages
- To find the value of y, let’s focus on the Home to “Ran out of fuel” point row of the DST table.
- To calculate the value of y from here, we need to know the speed and the time, but t2 is unknown to us.
- We observe that t2 is also present in the equation of time (t1 + t2 + t3) = t hours
- To calculate t2 we need the value of t1 and t3.
- We observe that t3 is present in the “Emily meets her friend to home row” of the DST table.
- From here we can express t3 in terms of x, y and p.
- We observe that t1 is present in the Home to “Ran out of fuel” point row of the DST table.
- From here we can express t1 in terms of x and p.
- So we will have 4 equations and 4 variables, and thus we will be able to find the value of y.
Approach
- From the “Emily meets her friend to home” row of the DST table, we will get t3
- in terms of x , y and p.
- From home to “Ran out of fuel” point row of the DST table, we will get t1
- in terms of x and p.
- From “Ran out of fuel point to Emily meets her friend” row of the DST table, we will get t2
- in terms of y.
- Putting values of t1, t2 and t3 in the equation (t1 + t2 + t3) = t hours, we will be able to find the value of unknown i.e. p.
Calculation
- From the “Emily meets her friend to home” row of the DST table, we will get t3 in terms of x , y and p.
2. From home to “Ran out of fuel” point row of the DST table, we will get t1 in terms of x and p.
3. From “Emily “meets her friend” to home row of the DST table, we will get t2 in terms of y.
- Speed = 8 meters per minute
- Here speed is given to us in different units
- Making the units consistent
- Speed =
4. (t1 + t2 + t3) = t hours
- Putting values of t1, t2 and t3, we have
- To get rid of the variable 'p' in the denominator multiply both sides of the equation with 'p'
- So, we get :
To get rid of the decimal in the denominator multiply both sides of the equation by 1/10
- LCM (15,10, 3) = 30
- Multiplying both sides of the equation by 30, we get :
Correct Answer: Option D
Most Upvoted Answer
Emily rode x miles from her home at a speed of p miles per hour before...
Given:
Let’s call Emily’s journey from her home till she meets her friend as her “Forward Journey” and her journey from when she meets her friend till her home as her “Return Journey”
Forward Journey
- Home to “Ran out of fuel” point
- Distance travelled = x miles
- Driving speed = p miles per hour
- Let the time taken be t1 hours.
- “Ran out of fuel” point till she meets her friend
- Speed of walking= 8 meters per minute
- Let the distance covered be y miles
- Let the time taken while walking = t2 hours.
- Total distance covered in Forward Journey = (x + y) miles
Return Journey
- From when Emily meets her friend to Home
- Total distance travelled = (x + y) miles
- Distance in forward journey = Distance covered in return journey
- Speed of driving = 50% more than p miles per hour
- Let the total time taken for the return journey be t3 hours.
- Total distance travelled = (x + y) miles
So our DST table would look like this:
*(t1 + t2 + t3) = t hours
To Find: How many miles she has walked her motorcycle = y = ?
Linkages
- To find the value of y, let’s focus on the Home to “Ran out of fuel” point row of the DST table.
- To calculate the value of y from here, we need to know the speed and the time, but t2 is unknown to us.
- We observe that t2 is also present in the equation of time (t1 + t2 + t3) = t hours
- To calculate t2 we need the value of t1 and t3.
- We observe that t3 is present in the “Emily meets her friend to home row” of the DST table.
- From here we can express t3 in terms of x, y and p.
- We observe that t1 is present in the Home to “Ran out of fuel” point row of the DST table.
- From here we can express t1 in terms of x and p.
- So we will have 4 equations and 4 variables, and thus we will be able to find the value of y.
Approach
- From the “Emily meets her friend to home” row of the DST table, we will get t3
- in terms of x , y and p.
- From home to “Ran out of fuel” point row of the DST table, we will get t1
- in terms of x and p.
- From “Ran out of fuel point to Emily meets her friend” row of the DST table, we will get t2
- in terms of y.
- Putting values of t1, t2 and t3 in the equation (t1 + t2 + t3) = t hours, we will be able to find the value of unknown i.e. p.
Calculation
- From the “Emily meets her friend to home” row of the DST table, we will get t3 in terms of x , y and p.
2. From home to “Ran out of fuel” point row of the DST table, we will get t1 in terms of x and p.
3. From “Emily “meets her friend” to home row of the DST table, we will get t2 in terms of y.
- Speed = 8 meters per minute
- Here speed is given to us in different units
- Making the units consistent
- Speed =
4. (t1 + t2 + t3) = t hours
- Putting values of t1, t2 and t3, we have
- To get rid of the variable 'p' in the denominator multiply both sides of the equation with 'p'
- So, we get :
To get rid of the decimal in the denominator multiply both sides of the equation by 1/10
- LCM (15,10, 3) = 30
- Multiplying both sides of the equation by 30, we get :
Correct Answer: Option D
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Community Answer
Emily rode x miles from her home at a speed of p miles per hour before...
Given:
Let’s call Emily’s journey from her home till she meets her friend as her “Forward Journey” and her journey from when she meets her friend till her home as her “Return Journey”
Forward Journey
- Home to “Ran out of fuel” point
- Distance travelled = x miles
- Driving speed = p miles per hour
- Let the time taken be t1 hours.
- “Ran out of fuel” point till she meets her friend
- Speed of walking= 8 meters per minute
- Let the distance covered be y miles
- Let the time taken while walking = t2 hours.
- Total distance covered in Forward Journey = (x + y) miles
Return Journey
- From when Emily meets her friend to Home
- Total distance travelled = (x + y) miles
- Distance in forward journey = Distance covered in return journey
- Speed of driving = 50% more than p miles per hour
- Let the total time taken for the return journey be t3 hours.
- Total distance travelled = (x + y) miles
So our DST table would look like this:
*(t1 + t2 + t3) = t hours
To Find: How many miles she has walked her motorcycle = y = ?
Linkages
- To find the value of y, let’s focus on the Home to “Ran out of fuel” point row of the DST table.
- To calculate the value of y from here, we need to know the speed and the time, but t2 is unknown to us.
- We observe that t2 is also present in the equation of time (t1 + t2 + t3) = t hours
- To calculate t2 we need the value of t1 and t3.
- We observe that t3 is present in the “Emily meets her friend to home row” of the DST table.
- From here we can express t3 in terms of x, y and p.
- We observe that t1 is present in the Home to “Ran out of fuel” point row of the DST table.
- From here we can express t1 in terms of x and p.
- So we will have 4 equations and 4 variables, and thus we will be able to find the value of y.
Approach
- From the “Emily meets her friend to home” row of the DST table, we will get t3
- in terms of x , y and p.
- From home to “Ran out of fuel” point row of the DST table, we will get t1
- in terms of x and p.
- From “Ran out of fuel point to Emily meets her friend” row of the DST table, we will get t2
- in terms of y.
- Putting values of t1, t2 and t3 in the equation (t1 + t2 + t3) = t hours, we will be able to find the value of unknown i.e. p.
Calculation
- From the “Emily meets her friend to home” row of the DST table, we will get t3 in terms of x , y and p.
2. From home to “Ran out of fuel” point row of the DST table, we will get t1 in terms of x and p.
3. From “Emily “meets her friend” to home row of the DST table, we will get t2 in terms of y.
- Speed = 8 meters per minute
- Here speed is given to us in different units
- Making the units consistent
- Speed =
4. (t1 + t2 + t3) = t hours
- Putting values of t1, t2 and t3, we have
- To get rid of the variable 'p' in the denominator multiply both sides of the equation with 'p'
- So, we get :
To get rid of the decimal in the denominator multiply both sides of the equation by 1/10
- LCM (15,10, 3) = 30
- Multiplying both sides of the equation by 30, we get :
Correct Answer: Option D
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Question Description
Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. 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 Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. Can you explain this answer?.
Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. 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 Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. Can you explain this answer?.
Solutions for Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Emily rode x miles from her home at a speed of p miles per hour before running out of fuel. She then walked her motorcycle at 8 meters per minute till a few miles further before she met her friend. Emily’s friend dropped her back home, driving along the same route at a rate that was 50% greater than Emily’s riding speed for x miles. If the total journey took t hours, how many miles did Emily walk her motorcycle for? (Given : 1000 meters = 0.62 miles)a)b)c)d)e)Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
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