Calculating Average Speed for Wasim's Journey
To find the average speed for the whole journey, we need to calculate the total distance traveled and the total time taken.
The formula for average speed is:
$ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} $Calculating Time for Each Segment
We calculate the time taken for each part of the journey using the formula $ \text{Time} = \frac{\text{Distance}}{\text{Speed}} $.
- Part 1: Distance = 455 km, Speed = 91 km/hr. $ t_1 = \frac{455 \text{ km}}{91 \text{ km/hr}} = 5 \text{ hours} $
- Part 2: Distance = 390 km, Speed = 78 km/hr. $ t_2 = \frac{390 \text{ km}}{78 \text{ km/hr}} = 5 \text{ hours} $
- Part 3: Distance = 476 km, Speed = 68 km/hr. $ t_3 = \frac{476 \text{ km}}{68 \text{ km/hr}} = 7 \text{ hours} $
Calculating Total Distance and Total Time
Now, we sum the distances and times from all segments.
- Total Distance: $ \text{Total Distance} = 455 \text{ km} + 390 \text{ km} + 476 \text{ km} = 1321 \text{ km} $
- Total Time: $ \text{Total Time} = t_1 + t_2 + t_3 = 5 \text{ hr} + 5 \text{ hr} + 7 \text{ hr} = 17 \text{ hours} $
Calculating Average Speed
Using the total distance and total time, we find the average speed.
$ \text{Average Speed} = \frac{1321 \text{ km}}{17 \text{ hours}} $Performing the division:
$ \text{Average Speed} \approx 77.70588... \text{ km/hr} $Rounding the Answer
The question asks to round the answer to two decimal places.
Rounded Average Speed = $77.71$ km/hr.
Similar Questions
- A man completes a journey in 11 h. He travels first half of the journey at the speed of 25 km/h and the second half at the speed of 30 km/h. Find the total distance of the journey.
- Heena covers a certain distance by train at 110 km/h and she returned to the starting point covering the same distance, driving a car at 50 km/h. Find her average speed for the whole journey.
- What is Ram's average speed if he goes from Point X to Point Y at 8 km/hr and returns from Point Y to Point X at 12 km/hr?
- A bus covers the first 50 km of its journey in 95 min and covers the remaining 70 km in 85 min. What is the average speed of the bus?
- Sachin covers a certain distance by car driving at 80 km/h and he returns to the starting point riding on a scooter at 50 km/h. Find his average speed for the whole journey up to 2 decimal places.
- An aeroplane flies along the sides of an equilateral triangle at the speed of 300 km/h, 200 km/h and 240 km/h, respectively. The average speed of the plane while flying around the triangle is:
- If a motor car travels the first half of a distance at a speed of 30 km/h and the remaining half distance at a speed of 50 km/h, what will be its average speed?
A car travels the first 60 km at 45 km/hr and the next 90 km at 60 km/hr. What is the average speed for the entire journey?
(Round off your answer to two decimal places.)
A scooter travels 40 km at 20 km/hr and returns 60 km at the same speed. What is the average speed?
A car travels 120 km at 40 km/h, 120 km at 60 km/h, and 100 km at 80 km/h. What is the average speed of the car for the whole journey?
Important Questions from Average Speed
A person covers a certain distance at the speed of 60 kmph and returns to the starting point at a speed of 40 kmph . Find the average speed (in km/hour) of the person for the whole journey.
A train runs at a speed of 28 kmph for 4 hours and 30 kmph for 5 hours and the remaining 40 kms in one hour. What is the average speed per hour?
Kapil travels for 4.5 hours at a speed of 50 km / h and 7.5 hours at a speed of 70 km / h. At the end of it, he finds that he covered only 6/7 of the total distance. At what average speed should he travel so that the remaining distance traveled in 5 hours?
A car has to cover 125 kms in 5 hours. What will be the average speed of the car if it has covered 90 kms in the first 3 hours?
A scooter from P to Q travels at 40 km/h and from Q to P at 30 km/h. What is the average speed of the scooter?
