Multiple choice

Yash started driving his car from Patiala to Ludhiana at 60 km/hr. He travelled for 2 hours at this speed and then increased his speed to 80 km/hr for the next 3 hours, and he reached Ludhiana. On the journey from Ludhiana to Patiala, he drove at 50 km/hr for 3 hours. Now, he has increased his speed to V km/hr to reach Patiala in 2 and a half hours. Find the value of V.

  1. 82 km/hr

  2. 84 km/hr

  3. 86 km/hr

  4. 88 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Distance Patiala to Ludhiana = (60 * 2) + (80 * 3) = 120 + 240 = 360 km. Return journey distance = 360 km. First 3 hours at 50 km/hr = 150 km. Remaining distance = 360 - 150 = 210 km. Time remaining = 2.5 hours. Speed V = 210 / 2.5 = 84 km/hr.

AI explanation

First, find the total distance from Patiala to Ludhiana by adding the products of the speeds and their respective times, which is (60 multiplied by 2) + (80 multiplied by 3) equals 120 + 240 equals 360 km. On the return journey, he covers 50 km/hr for 3 hours, traveling a distance of 150 km, leaving 360 - 150 equals 210 km to reach Patiala. He needs to cover this remaining 210 km in 2.5 hours, so using the formula Speed equals Distance divided by Time, V equals 210 / 2.5 equals 84 km/hr.

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