a train travels 68 km at an average speed of 51 km/h. it then travels another 20 km at an average speed of 40 km/h before reaching its destination. calculate the average speed of whole journey?
Ah, the speed of a train journey! It's like watching a snail on espresso. Well, if the train traveled 68 km at an average speed of 51 km/h and then went an additional 20 km at a pace of 40 km/h, we need to find the average speed of the whole journey.
First, let's determine the total time taken. The first leg took 68 km / 51 km/h = 1.333 hours, while the second leg took 20 km / 40 km/h = 0.5 hours.
Now, let's calculate the total distance traveled. It's a riveting 68 km + 20 km = 88 km.
To find the average speed, we divide the total distance by the total time taken.
So, the average speed is 88 km / (1.333 hours + 0.5 hours) ≈ 45.57 km/h, which approximately means the train had an average speed of 45.57 km/h for the whole journey.
Now go ahead and give that snail an espresso so it can catch up with the train's average speed!
To calculate the average speed of the whole journey, we need to find the total distance traveled and the total time taken.
1. First, calculate the time taken for the first leg of the journey, which is 68 km at an average speed of 51 km/h:
Time = Distance / Speed = 68 km / 51 km/h = 1.333 hours
2. Next, calculate the time taken for the second leg of the journey, which is 20 km at an average speed of 40 km/h:
Time = Distance / Speed = 20 km / 40 km/h = 0.5 hours
3. The total distance of the journey is the sum of the distances of both legs: 68 km + 20 km = 88 km
4. The total time taken for the journey is the sum of the times taken for both legs: 1.333 hours + 0.5 hours = 1.833 hours
5. Finally, calculate the average speed of the whole journey by dividing the total distance by the total time:
Average Speed = Total Distance / Total Time = 88 km / 1.833 hours ≈ 47.97 km/h
Therefore, the average speed of the whole journey is approximately 47.97 km/h.
To calculate the average speed of the whole journey, you need to consider the total distance traveled and the total time taken.
Step 1: Calculate the time taken for the first part of the journey.
Distance = 68 km, Speed = 51 km/h
Using the formula: Time = Distance / Speed
Time taken for the first part = 68 km / 51 km/h = 1.33 hours (rounded to two decimal places).
Step 2: Calculate the time taken for the second part of the journey.
Distance = 20 km, Speed = 40 km/h
Time taken for the second part = 20 km / 40 km/h = 0.5 hours.
Step 3: Calculate the total distance traveled.
Total distance = Distance of the first part + Distance of the second part
Total distance = 68 km + 20 km = 88 km.
Step 4: Calculate the total time taken.
Total time = Time taken for the first part + Time taken for the second part
Total time = 1.33 hours + 0.5 hours = 1.83 hours (rounded to two decimal places).
Step 5: Calculate the average speed of the whole journey.
Average speed = Total distance / Total time
Average speed = 88 km / 1.83 hours ≈ 48.09 km/h (rounded to two decimal places).
Therefore, the average speed of the whole journey is approximately 48.09 km/h.
since time = distance/speed, and
avg speed = totaldistance/totaltime,
= (68+20)/(68/51 + 20/40) = 48 km/hr