Multiple choice

A racer travels between city A and city C via city B. The total journey of 40 km takes him 25 mins. If he travels between city A and city B at a speed of 60 kmph and between city B and city C at a speed of 150 kmph, find the distance between City B and City C and also the time taken by the racer to travel this stretch.

  1. 12 km, 10 mins

  2. 25 km, 12.5 mins

  3. 12.5 km, 10 mins

  4. 25 km, 10 mins
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D Correct answer
AI explanation

Let the time taken to travel from city B to city C be t hours. The distance from A to B is 60 multiplied by (25/60 minus t), and the distance from B to C is 150*t. Since the total distance is 40 km, the equation is 60*(25/60 - t) + 150*t = 40, which simplifies to 25 - 60t + 150t = 40, meaning 90t = 15. Thus, t is 1/6 hours or 10 minutes, and the distance from B to C is 150*(1/6) = 25 km.

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