Juhi travelled a distance of 16 km by bicycle at the speed of 15 km/h, 20 km by scooter at the speed of 50 km/h and 50 km by car at the speed of 60 km/h. The total time (in minutes) taken to travel these distances was

Options

A. 144
B. 138
C. 88
D. 114

Answer

To find the total time taken by Juhi to travel the given distances, we will calculate the time taken for each segment of the journey separately and then sum them up.

### Step 1: Calculate the time taken to travel by bicycle
- Distance = 16 km
- Speed = 15 km/h

Using the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
\[ \text{Time}_{\text{bicycle}} = \frac{16 \text{ km}}{15 \text{ km/h}} = \frac{16}{15} \text{ hours} \]

### Step 2: Convert time from hours to minutes
To convert hours to minutes, we multiply by 60:
\[ \text{Time}_{\text{bicycle}} = \frac{16}{15} \times 60 \text{ minutes} = 64 \text{ minutes} \]

### Step 3: Calculate the time taken to travel by scooter
- Distance = 20 km
- Speed = 50 km/h

Using the same formula:
\[ \text{Time}_{\text{scooter}} = \frac{20 \text{ km}}{50 \text{ km/h}} = \frac{20}{50} \text{ hours} = \frac{2}{5} \text{ hours} \]

### Step 4: Convert time from hours to minutes
\[ \text{Time}_{\text{scooter}} = \frac{2}{5} \times 60 \text{ minutes} = 24 \text{ minutes} \]

### Step 5: Calculate the time taken to travel by car
- Distance = 50 km
- Speed = 60 km/h

Using the same formula:
\[ \text{Time}_{\text{car}} = \frac{50 \text{ km}}{60 \text{ km/h}} = \frac{50}{60} \text{ hours} = \frac{5}{6} \text{ hours} \]

### Step 6: Convert time from hours to minutes
\[ \text{Time}_{\text{car}} = \frac{5}{6} \times 60 \text{ minutes} = 50 \text{ minutes} \]

### Step 7: Calculate the total time taken
Now, we will sum up the time taken for each mode of transport:
\[ \text{Total Time} = \text{Time}_{\text{bicycle}} + \text{Time}_{\text{scooter}} + \text{Time}_{\text{car}} \]
\[ \text{Total Time} = 64 \text{ minutes} + 24 \text{ minutes} + 50 \text{ minutes} = 138 \text{ minutes} \]

### Final Answer
The total time taken to travel these distances is **138 minutes**.

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