It took Arvhee 3 hours to reach the peak of the mountain and 2 hours going down. If the distance between the hiking gate and the peak is 70 km, find the average speed to go up and down the mountain in km/hr.
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It took Arvhee 3 hours to reach the peak of the mountain and 2 hours going down. If the distance between the hiking gate and the peak is 70 km, find the average speed to go up and down the mountain in km/hr.
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Verified answer
AVERAGE SPEED
The average speed refers to the total distance travelled by a body or object at a specific time interval. In simple words, the average speed of an object can be computed by dividing the total distance travelled and total time it takes for the body to reach a certain point of destination.
The formula can be expressed as:
where:
You can check this link to see where this formula was derived: https://brainly.com/question/862972
In order to understand this concept, let us try solving this word problem.
It took Arvhee 3 hours to reach the peak of the mountain and 2 hours going down. If the distance between the hiking gate and the peak is 70 km, find the average speed to go up and down the mountain in km/hr.
Now, the first step of the solution is to get the summation of each quantity that we will need in the formula.
For the distance, it is stated that Arvhee travelled roundtrip. Roundtrip means that the body moves to a certain destination and return to its reference point. In simple words, he went "back and forth". Since the distance from the hiking gate to the peak is 70 kilometers, doubling the distance will yield us 140 km since the distance going up is that same as the distance going down. Thus, the total distance travelled by Arvhee is 140 km.
For the time, Arvhee took 3 hours going up the peak while he took 2 hours going down. Adding the time going up and the time going down: 3 + 2 = 5 hours. This means that Arvhee's total time travelled is 5 hours.
By direct substitution:
km/hour
In conclusion, Arvhee's average speed is equal to 28 kph.
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