Multiple choice

A man covered 50% of his total journey with the speedof 24 km/hr, while the remaining journey at the speed of 30km/hr. If the total time taken to cover the whole journeywas 9 hours, then find the total distance covered.

  1. 180 km

  2. 200 km

  3. 240 km

  4. 160 km

  5. 300 km

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

Let the total distance be D km. Equal halves are covered at 24 km/hr and 30 km/hr, so total time is D/48 + D/60 = 9. This gives D = 240 km.

AI explanation

Let half of the total distance be x kilometers. The time taken for the first half is x divided by 24, and the time for the second half is x divided by 30. The total time is 9 hours, so the equation is (x divided by 24) plus (x divided by 30) equals 9. Solving this gives 9x divided by 120 equals 9, resulting in x equal to 120, which means the total distance is 240 km.