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The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. Two friends Ashu and Manoj are running around from A to B simultaneously. Whenever Ashu reaches either end he runs back and continues at the same speed. Whenever Manoj meets Ashu he turns around and continues to run at the same speed, so when Ashu comes at A for the first time is how far from Manoj who is at B? I) The ratio of their speeds is 5 ∶ 3 and the track is of 800 m. II) Their speeds are equal.

The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. Two friends Ashu and Manoj are running around from A to B simultaneously. Whenever Ashu reaches either end he runs back and continues at the same speed. Whenever Manoj meets Ashu he turns around and continues to run at the same speed, so when Ashu comes at A for the first time is how far from Manoj who is at B? I) The ratio of their speeds is 5 ∶ 3 and the track is of 800 m. II) Their speeds are equal. Correct Answer if the data given in statement I alone is sufficient to answer the question whereas the data given in statement II alone is not sufficient to answer the question.

Statement I:

[ alt="DS October 2018 20 solutions R Hindirev images Q12a" src="//storage.googleapis.com/tb-img/production/19/02/DS_October_2018_20_solutions_R_Hindirev_images_Q12a.PNG" style="width: 428px; height: 71px;">

[ height="18" src="file:///C:/Users/UMESHK~1/AppData/Local/Temp/msohtmlclip1/01/clip_image001.png" width="2">Ashu and Manoj will meet for the first time at C which is 300 m from B as Ashu will cover 500m as the ratio of their speed is 5 ∶ 3

Now Manoj will change his direction and run towards B and Ashu will return towards A after reaching B and meet Manoj at D

⇒ (CB + BD) /CD = (300 + x) / (300 – x) = 5/3

⇒ 3(300 + x) = 5(300 – x)

⇒ 900 + 3x = 1500 – 5x

⇒ 8x = 600

⇒ x = 75 m

Manoj again will change his direction, and both will start running towards A to reach A and Ashu has to cover 725 m.

⇒ In same time Manoj will cover 725 × 3/5 = 435 m

⇒ When Ashu reaches A, Manoj will be 75 + 435 = 510 m from B

Statement (2): Case not possible

∴ Data given in statement I alone is sufficient to answer the question whereas the data given in statement II alone is not sufficient to answer the question

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