A man travels a certain distance at 15km/h and returns to the starting point at 6km/h. The total time taken by him for the entire journey is 5\(\frac{1}{4}\) hours. The total distance (in km.) covered by him:
Answer & explanation
Correct answer: option 3
When distance is same, then speed ∝ \(\frac{1}{time}\)
Go Come
Speed = 15 : 6
Time = 6 : 15
Total time ⇒ 6 + 15 = 21
⇓×\(\frac{1}{4}\)
\(\frac{21}{4}\) (given)
Therefore, time taken to go = 6 × \(\frac{1}{4}\) = \(\frac{6}{4}\)
Total Distance = 15km/hr × \(\frac{6}{4}\) × 2 = 45 km.