Multiple choice

Two cars A and B travel from one city to another city at speeds of 60 km/hr and 108 km/hr, respectively. If car B takes 2 hours less time than car A for the journey, then what is the distance (in km) between the two cities?

  1. 240

  2. 270

  3. 300

  4. 330
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D. Time for A = D/60. Time for B = D/108. D/60 - D/108 = 2. (9D - 5D)/540 = 2. 4D = 1080. D = 270.

AI explanation

Let the distance between the two cities be d km. The time taken by car A is d divided by 60, and the time taken by car B is d divided by 108. The difference in time is 2 hours, so we set up the equation (d / 60) - (d / 108) = 2. Finding a common denominator gives (9d - 5d) / 540 = 2, which simplifies to 4d / 540 = 2. Solving for d gives 4d = 1080, so the distance is 270 km.

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