Answer :
Sure! Let's solve the given questions step-by-step.
### Problem Statement:
Rohit goes 350 km in 5 hours. Find:
1. (i) His speed
2. (ii) The distance covered by Rohit in 6.2 hours
3. (iii) The time taken by him to cover 210 km
Assume that throughout the journey, the speed of Rohit remains uniform.
### Step-by-Step Solution:
#### 1. Finding Rohit's Speed
Speed is defined as the distance traveled divided by the time taken.
Given:
- Distance traveled = 350 km
- Time taken = 5 hours
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{350 \text{ km}}{5 \text{ hours}} = 70 \text{ km/h} \][/tex]
Rohit's speed is [tex]\( 70 \text{ km/h} \)[/tex].
#### 2. Finding the Distance Covered by Rohit in 6.2 hours
Once the speed is known, we can calculate the distance for any given time using the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given:
- Speed = 70 km/h (calculated above)
- Time = 6.2 hours
[tex]\[ \text{Distance} = 70 \text{ km/h} \times 6.2 \text{ hours} = 434 \text{ km} \][/tex]
The distance covered by Rohit in 6.2 hours is [tex]\( 434 \text{ km} \)[/tex].
#### 3. Finding the Time Taken to Cover 210 km
Using the relationship for time:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Given:
- Distance = 210 km
- Speed = 70 km/h (calculated above)
[tex]\[ \text{Time} = \frac{210 \text{ km}}{70 \text{ km/h}} = 3 \text{ hours} \][/tex]
The time taken by Rohit to cover 210 km is [tex]\( 3 \text{ hours} \)[/tex].
### Summary:
1. Rohit's speed is [tex]\( 70 \text{ km/h} \)[/tex].
2. The distance covered by Rohit in 6.2 hours is [tex]\( 434 \text{ km} \)[/tex].
3. The time taken by him to cover 210 km is [tex]\( 3 \text{ hours} \)[/tex].
If you have any further questions or need additional clarifications, feel free to ask!
### Problem Statement:
Rohit goes 350 km in 5 hours. Find:
1. (i) His speed
2. (ii) The distance covered by Rohit in 6.2 hours
3. (iii) The time taken by him to cover 210 km
Assume that throughout the journey, the speed of Rohit remains uniform.
### Step-by-Step Solution:
#### 1. Finding Rohit's Speed
Speed is defined as the distance traveled divided by the time taken.
Given:
- Distance traveled = 350 km
- Time taken = 5 hours
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{350 \text{ km}}{5 \text{ hours}} = 70 \text{ km/h} \][/tex]
Rohit's speed is [tex]\( 70 \text{ km/h} \)[/tex].
#### 2. Finding the Distance Covered by Rohit in 6.2 hours
Once the speed is known, we can calculate the distance for any given time using the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given:
- Speed = 70 km/h (calculated above)
- Time = 6.2 hours
[tex]\[ \text{Distance} = 70 \text{ km/h} \times 6.2 \text{ hours} = 434 \text{ km} \][/tex]
The distance covered by Rohit in 6.2 hours is [tex]\( 434 \text{ km} \)[/tex].
#### 3. Finding the Time Taken to Cover 210 km
Using the relationship for time:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Given:
- Distance = 210 km
- Speed = 70 km/h (calculated above)
[tex]\[ \text{Time} = \frac{210 \text{ km}}{70 \text{ km/h}} = 3 \text{ hours} \][/tex]
The time taken by Rohit to cover 210 km is [tex]\( 3 \text{ hours} \)[/tex].
### Summary:
1. Rohit's speed is [tex]\( 70 \text{ km/h} \)[/tex].
2. The distance covered by Rohit in 6.2 hours is [tex]\( 434 \text{ km} \)[/tex].
3. The time taken by him to cover 210 km is [tex]\( 3 \text{ hours} \)[/tex].
If you have any further questions or need additional clarifications, feel free to ask!
