On a 100 km track a train travels the first 30 km at at a uniform of 3...
Given:
Let T be the time taken for the entire journey.
Total DISTANCE = 100m
Average speed for entire journey =40km/ h
As we know:
Average speed= TOTAL DISTANCE/
TOTAL time
Total time =100/40=10/4 hours
Time taken to cover first part of journey be t1.
Distance covered is 30km .
Average speed to cover 30km is 30km/ h
Time taken to cover part of journey: t1
t1= 30km/ 30km/ h
=1 hr
Time taken to cover second part of journey be t2
Distance covered is 70km
Let x be the average speed for covering 70km
Time t2=70/X
Total time= T=t1 + t2
=1+70/x
Total time is 10/ 4 hrs
So,
10/4 =70/x + 1
10/4=(70+ x)/x
5/2=(70+x)/x
5x =2 (70+x)
5x=140+2x
5x-2x=140
3x=140
X=140/3
=46.66km/ h
Therefore Train must travel at a average speed of 46.66 km/ h to cover 70km.
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On a 100 km track a train travels the first 30 km at at a uniform of 3...
Problem:
On a 100 km track, a train travels the first 30 km at a uniform speed of 30 km/hr. What is the average speed of Alishka's trip?
Solution:
To find the average speed of Alishka's trip, we need to consider the total time taken and the total distance traveled.
Step 1: Calculate the time taken for the first 30 km:
Given that the train travels the first 30 km at a uniform speed of 30 km/hr, we can use the formula:
Time = Distance / Speed
Substituting the values, we get:
Time = 30 km / 30 km/hr = 1 hour
Step 2: Calculate the time taken for the remaining 70 km:
To find the time taken for the remaining 70 km, we need to know the speed at which the train covers that distance. However, the problem does not provide this information.
Step 3: Calculate the average speed:
The average speed is defined as the total distance divided by the total time taken.
Total distance = 100 km
Total time = Time taken for the first 30 km + Time taken for the remaining 70 km
Since we don't have the speed for the remaining 70 km, we cannot directly calculate the total time.
However, we can make an assumption to find an approximate average speed. Let's assume that the speed for the remaining 70 km is also 30 km/hr.
Step 4: Calculate the average speed with the assumption:
Time taken for the remaining 70 km = Distance / Speed = 70 km / 30 km/hr = 2.33 hours (approx)
Total time = 1 hour + 2.33 hours = 3.33 hours (approx)
Average Speed = Total distance / Total time = 100 km / 3.33 hours = 30 km/hr (approx)
Conclusion:
Based on the assumption made, the average speed of Alishka's trip is approximately 30 km/hr. However, it's important to note that this is an approximate value since we made an assumption for the speed of the remaining 70 km. If the actual speed for the remaining 70 km is different, the average speed will also be different.
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