Multiple choice

Padma walks to her tuition centre at a speed of 4 km/hr and returns home at a speed of 3 km/hr. If she takes a total of 7 hr in going to tuition class and return home, then what is the distance between her home and the tuition class?

  1. 12 km

  2. 24 km

  3. 21 km

  4. 42 km

  5. 20 km
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A Correct answer
Explanation

Let distance be D. Time = D/4 + D/3 = 7. (3D + 4D)/12 = 7. 7D/12 = 7, so D = 12 km.

AI explanation

Let the one way distance be x kilometers. Using the basic formula time equals distance divided by speed, the total time of 7 hours equals x/4 plus x/3. Solving the equation (3x + 4x) / 12 = 7 gives 7x = 84, so x equals 12. The distance is 12 km.

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