Calculating Distance Covered by a Cyclist
This problem asks us to find the total distance a cyclist travels given their speed and the duration of their travel.
Understanding the Concepts
To solve this, we need the fundamental relationship between distance, speed, and time. The formula is:
Distance = Speed × Time
In mathematical notation, this is represented as:
\( d = v \times t \)
Where:
- \( d \) represents the distance traveled.
- \( v \) represents the speed of the object.
- \( t \) represents the time taken.
Applying the Formula
We are given the following information:
- Speed (\( v \)) = 18 km/hr
- Time (\( t \)) = 2.5 hours
Now, we substitute these values into the formula:
\( d = 18 \text{ km/hr} \times 2.5 \text{ hours} \)
Step-by-Step Calculation
- Identify the given values:
- Speed = 18 km/hr
- Time = 2.5 hours
- Recall the formula: Distance = Speed × Time.
- Substitute the values into the formula:
Distance = \( 18 \times 2.5 \) km
- Perform the multiplication:
\( 18 \times 2.5 = 45 \)
You can calculate this as \( 18 \times \frac{5}{2} \), which simplifies to \( 9 \times 5 \), resulting in 45.
- State the final answer with units: The distance covered is 45 km.
Conclusion
By applying the distance formula using the provided speed and time, the cyclist covers a distance of 45 km.
Important Questions from Speed Time & Distance (Notes)
A and B have to travel from place P to place Q following the same route in their respective cars. A drives at $60$ kmph while B drives at $80$ kmph. Find the time taken by B to reach place Q if A takes $12$ hrs.
On a straight road, a bus is $60$ km ahead of a car running in the same direction. After $3$ hours, the car is $90$ km ahead of the bus. If the speed of the bus is $45$ km/h, then what is the speed of the car (in km/h)?
A train running at the speed of $90$ kmph crosses a $250$ m long platform in $26$ seconds. What is the length of the train (in m)?
A car covers 4 successive stretches of 3 km each at speed of 10 kmph, 20 kmph, 30 kmph and 60 kmph respectively. The average speed of the car for the entire journey is:
- A car travels a total distance L. It travels half the distance with speed $v_1$ and the other half with speed $v_2$. The average speed of the car is :
