Multiple choice

Rahul drives from City A to City B at a speed of 60 km/h. On his way back from City B to City A, he encounters heavy traffic and drives at a speed of 40 km/h. If the total time taken for the round trip is 5 hours, what is the distance between the two cities?

  1. 60 km

  2. 90 km

  3. 120 km

  4. 240 km

  5. 360 km

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let distance be d. Time = d/60 + d/40 = 5. (2d + 3d) / 120 = 5, so 5d = 600, d = 120 km.

AI explanation

For a round trip where the distances are equal, the average speed is calculated as two multiplied by the product of the speeds divided by the sum of the speeds. This gives an average speed of two multiplied by 60 multiplied by 40 divided by the sum of 60 and 40, resulting in 4800 divided by 100, which equals 48 km/h. Using the formula distance equals speed multiplied by time, the total distance for the 5-hour round trip is 48 multiplied by 5, giving 240 km. Since this is the combined distance for both legs of the trip, the one-way distance between the two cities is 120 km.