Multiple choice

Distance between Delhi and Jaipur is 300 km. Aman starts from Delhi and Rajiv from Jaipur at same time. After two hours, Aman realized he was travelling slow and therefore increased his speed by 25% and meet Rajiv at a point 108 km from Delhi. Find the increased speed of Aman, if Rajiv derived at a constant speed of 75 km/hr.

  1. a)40 km/hr

  2. b)50 km/hr

  3. c)60 km/hr

  4. d)55 km/hr

  5. e)65 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Rajiv travels at 75 km/hr, so in the total time T he covers 300 minus 108, which is 192 km, making T equal to 192 divided by 75 or 2.56 hours. Aman travels 108 km by increasing his speed by 25% after the first 2 hours, meaning he covers the remaining distance at a speed of 1.25x for (T minus 2) hours. Setting up the equation for Aman, 2x plus 1.25x multiplied by 0.56 equals 108, we solve for x to find his initial speed is 40 km/hr. Therefore, his increased speed is 1.25 times 40, which equals 50 km/hr.

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