Mr.Ronald travelled 5/8 of his journey in 150 min at an average speed of 82 km/h. What was the total distance of his journey?
distance=(rate)*(time)
use the proportions method.
5/8 = [(150min [convert mins to hours! so that you'd be able to cancel the hours])(82km/h)]/[total distance]
solve for total distance.
Distance = Velocity * Time
150 min. = 2.5 hours
5/8D = (82 * 2.5)
I'll let you do the calculations.
To find the total distance of Mr. Ronald's journey, we need to determine the distance he traveled in the 150 minutes and then calculate the full journey based on that.
1. We know that Mr. Ronald traveled 5/8 of his journey in 150 minutes. So, let's calculate the distance he traveled in this duration.
To find the distance, we can use the formula: Distance = Speed × Time.
Distance = (82 km/h) × (150 min / 60 min/h) [converting minutes to hours]
Distance = 82 km/h × 2.5 h = 205 km
Therefore, Mr. Ronald traveled 205 km in 150 minutes.
2. Now, we will calculate the total distance of his journey. We know that this 205 km is 5/8 of the total distance.
Let's assume the total distance is "d".
So, (5/8) * d = 205 km.
To find "d", we can rearrange the equation:
d = (205 km) / (5/8) = (205 km) * (8/5) = 328 km.
Therefore, the total distance of Mr. Ronald's journey is 328 kilometers.