Q.}In a journey a car travelled at the rate of 20km/hr for 10mins and ...
Distance = rate x time
In this problem the car has two different parts of its journey.
First part:
"A car travels at 30 km/h for 10 minutes"
D1 = 30 km/hr x 10 min (we need time to be in hours)
D1 = 30 km/hr x 10/60 hr (now we can multiply)
D1 = 5 km (this is the distance of the first part)
Second part:
"and then at 40 km/h for 15 minutes."
D2 = 40 km/hr x 15 min (we need time to be in hours)
D2 = 40 km/hr x 15/60 hr (now we can multiply)
D2 = 10 km (this is the distance of the second part)
What is the total distance traveled?
Dtotal = D1 + D2 = 5 km + 10 km = 15 km
The total distance traveled is 15 km.
This question is part of UPSC exam. View all Class 9 courses
Q.}In a journey a car travelled at the rate of 20km/hr for 10mins and ...
Given Data:
- The car travelled at a speed of 20 km/hr for 10 minutes.
- The car then travelled at a speed of 30 km/hr for 2 minutes.
Calculating the Distance Covered:
To calculate the total distance covered, we need to find the distance traveled during each segment of the journey and then add them together.
Distance covered in the first segment:
The car traveled at a speed of 20 km/hr for 10 minutes. To find the distance covered, we can use the formula:
Distance = Speed × Time
Given that the speed is 20 km/hr and the time is 10 minutes, we need to convert the time to hours:
10 minutes = 10/60 hours = 1/6 hours
So, the distance covered in the first segment is:
Distance = 20 km/hr × 1/6 hours = 20/6 km = 10/3 km
Distance covered in the second segment:
The car traveled at a speed of 30 km/hr for 2 minutes. Using the same formula as above:
2 minutes = 2/60 hours = 1/30 hours
So, the distance covered in the second segment is:
Distance = 30 km/hr × 1/30 hours = 1 km
Total Distance Covered:
To find the total distance covered, we add the distances covered in each segment:
Total Distance = Distance in first segment + Distance in second segment
Total Distance = 10/3 km + 1 km = 13/3 km
Therefore, the total distance covered by the car is 4 1/3 km or approximately 4.33 km.
Calculating the Average Speed:
The average speed is defined as the total distance traveled divided by the total time taken.
Total time taken = Time in first segment + Time in second segment
Total time taken = 10 minutes + 2 minutes = 12 minutes
Converting the total time taken to hours:
12 minutes = 12/60 hours = 1/5 hours
Average Speed = Total Distance / Total Time Taken
Average Speed = (13/3) km / (1/5) hours
Average Speed = (13/3) km × (5/1) hours
Average Speed = 65/3 km/hr
Therefore, the average speed of the car for the entire journey is approximately 21.67 km/hr.
Q.}In a journey a car travelled at the rate of 20km/hr for 10mins and ...
15 km/hr
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.