Multiple choice

A student travels between Nandanvan and Hingna via Ajni. The total journey of 20 km takes him 25 mins. If he travels between Nandanvan and Ajni at speed of 30 kmph and between Ajni and Hingna at speed of 75 kmph, find the distance between Ajni and Hingna and also the time taken by the student to travel this stretch.

  1. 12 kms, 10 mins

  2. 10 kms, 12.5 mins

  3. 12.5 kms, 10 mins

  4. None of these
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C Correct answer
AI explanation

Using the formula time equals distance divided by speed, let the distance between Nandanvan and Ajni be x and the distance between Ajni and Hingna be 20 minus x. The total time equation is x divided by 30 plus 20 minus x divided by 75 equals 25 divided by 60 hours. Solving this equation gives x as 7.5 km, meaning the distance from Ajni to Hingna is 12.5 km; dividing 12.5 by 75 hours and multiplying by 60 minutes gives a time of 10 minutes.

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