Correct Answer - Option 1 : 3 km
Given:
Distance is travelled by a person equally with the speed of 4 km/hr, 6 km/hr and 8 km/hr respectively
Total time taken = 32.5 minutes
Formula used:
Time = Distance/Speed
1 hour = 60 minutes
Calculation:
Let the equal distance be D km
Then total distance = 3D
Now, the total time is taken = 32.5 minutes
⇒ (D/4) + (D/6) + (D/8) = (32.5/60) hrs
⇒ (6D + 4D + 3D)/24 = 32.5/60
⇒ 13D = 32.5 × 24/60
⇒ D = (32.5 × 24)/(60 × 13)
⇒ D = 1 km
Total distance = 3 × 1
⇒ 3 km.
∴ The total distance travelled by him is 3 km