Multiple choice

A person covered some distance in 24 hours. He covered half the distance by rail @ 75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was

  1. 950

  2. 1150

  3. 1350

  4. 1550

  5. 1750
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total distance be D. Time = (D/2)/75 + (D/2)/45 = 24. D/150 + D/90 = 24. (3D + 5D) / 450 = 24. 8D = 24 * 450. D = 3 * 450 = 1350.

AI explanation

Let half the total distance be x kilometers, so the time travelled by rail is x/75 hours and the time travelled by car is x/45 hours. The total time for the journey is given as 24 hours, creating the equation x/75 plus x/45 equals 24. Finding a common denominator of 225 gives 3x plus 5x equals 5400, so 8x equals 5400 and x equals 675; since this is only half the distance, the total distance is 1350 km.

Keep practicing — related questions