A person covers a distance of 20km by bus in 35 min.After deboarding the bus,he took rest for 20 min and covers another 10 km by a taxi in 20 min. Find his average speed for the whole journey.

Answer

To find the average speed for the whole journey, we will follow these steps:

### Step 1: Calculate the total distance traveled.
The person travels two distances:
- First distance by bus: 20 km
- Second distance by taxi: 10 km

**Total Distance = Distance by Bus + Distance by Taxi = 20 km + 10 km = 30 km**

### Step 2: Calculate the total time taken.
The time taken for each part of the journey is as follows:
- Time taken by bus: 35 minutes
- Rest time: 20 minutes
- Time taken by taxi: 20 minutes

**Total Time = Time by Bus + Rest Time + Time by Taxi = 35 minutes + 20 minutes + 20 minutes = 75 minutes**

### Step 3: Convert total time from minutes to hours.
Since speed is typically expressed in km/h, we need to convert the total time from minutes to hours.

**Total Time in Hours = Total Time in Minutes / 60 = 75 minutes / 60 = 1.25 hours**

### Step 4: Calculate the average speed.
The formula for average speed is:

**Average Speed = Total Distance / Total Time**

Substituting the values we calculated:

**Average Speed = 30 km / 1.25 hours = 24 km/h**

### Final Answer:
The average speed for the whole journey is **24 km/h**.

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