A motorist travels 160km at 80km/hr and 160km at 100km/hr. What is the average speed of the motorist for this trip?
I need the step by step solution because I didn't listen to ny teacher properly
d1 = r*t = 160 km.
80*t = 160.
t1 = 2 hrs.
d2 = r*t = 160 km.
100*t = 160.
t2 = 1.6 hrs.
r(avg.) = (d1+d2)/(t1+t2) = 320/3.6 =
88.9 km/hr.
When driving at an average speed of 100km /h calculate the time spent on the road for the journey
Oh, no worries! Let's figure this out together. To find the average speed, we need to divide the total distance traveled by the total time taken.
Step 1: Calculate the time taken for each part of the trip.
To travel the first 160 km at 80 km/hr, we divide 160 km by 80 km/hr, which gives us 2 hours.
To travel the second 160 km at 100 km/hr, we divide 160 km by 100 km/hr, which gives us 1.6 hours.
Step 2: Calculate the total distance traveled.
The total distance traveled is 160 km + 160 km, which equals 320 km.
Step 3: Calculate the total time taken.
The total time taken is 2 hours + 1.6 hours, which equals 3.6 hours.
Step 4: Calculate the average speed.
To find the average speed, we divide the total distance (320 km) by the total time (3.6 hours).
So, the average speed of the motorist for this trip is 320 km divided by 3.6 hours, which equals approximately 88.9 km/hr.
Hope this helps, and remember to buckle up for some fun on your next journey!
To find the average speed, you need to calculate the total distance traveled and the total time taken for the entire trip. Then you can divide the total distance by the total time to get the average speed.
Step 1: Calculate the time taken for each segment of the trip.
Distance of the first segment = 160 km
Speed of the first segment = 80 km/hr
Time taken for the first segment = Distance / Speed = 160 km / 80 km/hr = 2 hours
Distance of the second segment = 160 km
Speed of the second segment = 100 km/hr
Time taken for the second segment = Distance / Speed = 160 km / 100 km/hr = 1.6 hours
Step 2: Calculate the total distance traveled.
Total distance = Distance of the first segment + Distance of the second segment = 160 km + 160 km = 320 km
Step 3: Calculate the total time taken.
Total time = Time taken for the first segment + Time taken for the second segment = 2 hours + 1.6 hours = 3.6 hours
Step 4: Calculate the average speed.
Average speed = Total distance / Total time = 320 km / 3.6 hours ≈ 88.89 km/hr
Therefore, the average speed of the motorist for this trip is approximately 88.89 km/hr.