Rohan covers first 180km at 20kmph, next 144km at 18kmph, next 168km in 14 hours and last 182km at 14kmph. Find his average speed during the whole journey.

Options

A. `15(7)/(22)` kmph
B. `16(5)/(21)` kmph
C. `15(37)/(42)` kmph
D. `16(1)/(21)` kmph

Answer

To find Rohan's average speed during the whole journey, we need to calculate the total distance traveled and the total time taken. The average speed can be calculated using the formula:

\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]

### Step 1: Calculate the total distance
The total distance is the sum of all the distances Rohan traveled:

- First distance: 180 km
- Second distance: 144 km
- Third distance: 168 km
- Fourth distance: 182 km

\[ \text{Total Distance} = 180 + 144 + 168 + 182 \]