Multiple choice

Two men start walking together towards a certain destination. One walks at the speed of 3.75 km/hr and the other walks at 3 km/hr. The former arrives half an hour before the later. The total distance to be covered is

  1. 9.5 km

  2. 8 km

  3. 7.5 km

  4. 6 km

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

Let distance be D. D/3 - D/3.75 = 0.5. D(1/3 - 1/3.75) = 0.5. D(0.333 - 0.266) = 0.5. D(0.0666) = 0.5. D = 7.5 km.

AI explanation

Let the total distance be D; using the Time formula, the difference in time is (D divided by 3) minus (D divided by 3.75). This difference is given as 0.5 hours, so (D divided by 3) minus (D divided by 3.75) equals 0.5. Solving this equation gives 0.75D divided by 11.25 equals 0.5, which means D equals 7.5. The total distance to be covered is 7.5 km.