 Page 2 let distance = dso time taken by each ; d/10 and d/15givend/10-d/15= 15/60solve for d = 7.5 kmIMO C Bunuel wrote: Two athletes cover the distance from A to B at the rate of 10 and 15 kmph respectively. What is the the distance from A to B, if one of the athletes takes 15 minutes longer than the other?A. 1.5 KmB. 3.5 kmC. 7.5 kmD. 11 kmE. 15KM [textarea] Project PSButler Rituparna Nath Content Writer at Study Abroad Exams | Updated On - Jul 1, 2022 ‘Two Athletes Cover the Distance from A to B at the Rate of 10 and 15 kmph respectively’ is a GMAT quantitative reasoning question. GMAT quantitative reasoning section measures candidates' ability to solve mathematical, and quantitative problems and interpret graphic data. This section of the GMAT exam comprises of 31 questions. Candidates are given 62 minutes to complete this section. This question comes with five options and candidates need to choose the one which is correct. GMAT Quant syllabus has mainly two categories-
Topic: Two athletes cover the distance from A to B at the rate of 10 and 15 kmph respectively. What is the distance from A to B, if one of the athletes takes 15 minutes longer than the other?
Read More Similar GMAT Samples Answer: C Model Answer 1 Explanation: To solve the above problem, let us consider the distance from A to B to be D km. \(\frac{D}{10}-\frac{D}{15}=\frac{15}{60}\) This implies,\(\frac{D*(3-2)}{30}=\frac{1}{4}\) This implies, D=\(\frac{30}{4}\) Therefore, D=7.5 km Here in the above equation, we can see that the distance between A and D, has been averaged by 10 and 15. The equation becomes, D/10 and D/15 which is equal to 15/60. By doing cross-multiplication we get D equals 30/4. Hence the value of distance (D) is equal to 7.5 kilometers. Model Answer 2 Explanation: This is a quantitative question, based on the speed, time, and distance section of the math. This particular question is on relative speed. From the above question, it can be derived that two athletes covered a distance of 10 kilometers in an hour and 15 kilometers in an hour. If we consider, the distance to be d. Hence, according to the question, when d is equated with 10 and 15, the equation further becomes d/10 – d/15, this equals 12/60. Hence furthermore, when equated (3d – 2d)/30. Then 12/60 becomes 7.5. This gives the result of the problem to be 7.5 kilometers.
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Two athletes cover the distance from A to B at the rate of 10 and 15 [#permalink]
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Question Stats: Hide Show timer StatisticsTwo athletes cover the distance from A to B at the rate of 10 and 15 kmph respectively. What is the the distance from A to B, if one of the athletes takes 15 minutes longer than the other?A. 1.5 KmB. 3.5 kmC. 7.5 kmD. 11 kmE. 15 KM Project PS Butler Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS Are You Up For the Challenge: 700 Level Questions _________________
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Re: Two athletes cover the distance from A to B at the rate of 10 and 15 [#permalink]
Bunuel wrote: Two athletes cover the distance from A to B at the rate of 10 and 15 kmph respectively. What is the the distance from A to B, if one of the athletes takes 15 minutes longer than the other?A. 1.5 KmB. 3.5 kmC. 7.5 kmD. 11 kmE. 15 KM let distance from A to B be D kms.\(\frac{D}{10}-\frac{D}{15}=\frac{15}{60}\)\(\frac{D*(3-2)}{30}=\frac{1}{4}\)\(D = \frac{30}{4}\); D = 7.5 kmAns: C
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Re: Two athletes cover the distance from A to B at the rate of 10 and 15 [#permalink]
Bunuel wrote: Two athletes cover the distance from A to B at the rate of 10 and 15 kmph respectively. What is the the distance from A to B, if one of the athletes takes 15 minutes longer than the other?A. 1.5 KmB. 3.5 kmC. 7.5 kmD. 11 kmE. 15 KM Project PS Butler Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS Are You Up For the Challenge: 700 Level Questions Solution:
o Time taken to cover D by second athlete = \(\frac{D}{15}\) hr
• \(D = 7.5\) Km
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Re: Two athletes cover the distance from A to B at the rate of 10 and 15 [#permalink] let distance = dso time taken by each ; d/10 and d/15givend/10-d/15= 15/60solve for d = 7.5 kmIMO C Bunuel wrote: Two athletes cover the distance from A to B at the rate of 10 and 15 kmph respectively. What is the the distance from A to B, if one of the athletes takes 15 minutes longer than the other?A. 1.5 KmB. 3.5 kmC. 7.5 kmD. 11 kmE. 15 KM Project PS Butler Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS Are You Up For the Challenge: 700 Level Questions
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Re: Two athletes cover the distance from A to B at the rate of 10 and 15 [#permalink] Let the distance be 'd' kms. By the time the slower runner reaches B the faster runner could have run an additional 15/4 kms. Since the ratio of their speeds is equal to that of the distances they cover in the same time: 15/10 = (d+15/4)/d....> 3d = 2d - 30/4....> = 7.5. ANS:C
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Re: Two athletes cover the distance from A to B at the rate of 10 and 15 [#permalink] let the distance be dso we haved/10 - d/15 = 15/60 => d = 30/4 =7.5 km
Re: Two athletes cover the distance from A to B at the rate of 10 and 15 [#permalink] 26 Mar 2020, 23:04 |
Two athletes cover the same distance at the rate of 10 and 15
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