Multiple choice

Bus J started travelling from terminal A towards terminal B at 7 am with a speed of 48 km/hr. At 8 am, another bus K also started travelling from terminal A towards terminal B. Bus K crossed bus J at 10 am. The distance between terminals A and B was 300 km. Another bus L started travelling from terminal B at 9 am and met bus K at 10:30 am. How far was bus J from bus L, when bus L met bus K?

  1. 12 km

  2. 18 km

  3. 24 km

  4. 36 km

  5. 48 km
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A Correct answer
Explanation

Bus J travels 48 km/hr. At 10 am, J has traveled 3 hours (144 km). Bus K travels from 8 am to 10 am (2 hours) to cover 144 km, so speed K = 72 km/hr. Bus L starts at 9 am from B (300 km away). At 10:30 am, K has traveled 2.5 hours (180 km from A). Distance between K and B is 300 - 180 = 120 km. L meets K at 10:30 am. Solving for positions at 10:30 am gives 12 km.

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