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The time taken by a person to cover 150 km was 2.5 hrs more than the time taken in the return journey. If he returned at a speed of 10km/hr more than the speed of going, what was the speed per hour in each direction?

  1. going speed =−30km/hr, returning=−20km/hr

  2. going speed =20km/hr, returning=30km/hr

  3. going speed =30km/hr, returning=40km/hr

  4. going speed =30km/hr, returning=20km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Letting the going speed be $v$, the returning speed is $v+10$. The time equation $150/v - 150/(v+10) = 2.5$ simplifies to $v^2 + 10v - 600 = 0$, yielding $v = 20$ km/hr going and 30 km/hr returning. Distractors either list incorrect speed combinations or physically impossible negative speeds.

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