Sure, let's solve this step-by-step.
1. Initial Conditions:
- Initial speed of the bus: 60 km per hour.
- Time taken to travel from Delhi to Agra: 4 hours.
2. Calculate the Distance:
- Distance covered is calculated using the formula:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
- Substituting the initial speed and time:
[tex]\[
\text{Distance} = 60 \, \text{km/hr} \times 4 \, \text{hours} = 240 \, \text{km}
\][/tex]
Hence, the bus covers a distance of 240 kilometers in 4 hours.
3. Increased Speed:
- The bus's speed is increased by 20 km per hour.
- New speed of the bus:
[tex]\[
\text{New speed} = 60 \, \text{km/hr} + 20 \, \text{km/hr} = 80 \, \text{km/hr}
\][/tex]
4. Time Taken with Increased Speed:
- We need to find the new time taken at this new speed to cover the same distance.
- The formula to calculate time is:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
- Substituting the distance (240 km) and the new speed (80 km/hr):
[tex]\[
\text{Time} = \frac{240 \, \text{km}}{80 \, \text{km/hr}} = 3 \, \text{hours}
\][/tex]
Therefore, if the speed of the bus is increased by 20 km per hour (making it 80 km per hour), the bus will take 3 hours to cover the same distance from Delhi to Agra.
