if Henry drove 220 kilometers between 10:00A.M and 1:40 P. M what was his average speed,in kilometers per hour (a) 54 (b) 60 (c) 55(d)45?
1:40 P. M = 13 h 40 min
Time of driving = 13 h 40 min - 10 h = 3 h 40 min
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Remark:
1 h = 60 min
40 min = 40 h / 60 = 20 ∙ 2 h / 20 ∙ 3 = 2 h / 3
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Time of driving = 13 h 40 min - 10 h = 3 h 40 min
3 h + 40 min = 3 h + 2 h / 3 = 9 h / 3 + 2 h / 3 = ( 11 / 3 ) h
Speed = Distance / time.
Speed = 220 / ( 11 / 3 ) = 220 ∙ 3 / 11 = 660 / 11 = 60 km / h
T = 13:40 - 10:00 = 3h-40 min. = 3 2/3 h = 11/3 h.
r = d/T = 220/(11/3) = 220 * 3/11 = 60 km/h.
To calculate the average speed, we need to divide the total distance traveled by the total time taken.
The total distance Henry drove is 220 kilometers.
The time taken is from 10:00 A.M. to 1:40 P.M.
To find the time taken, we subtract the start time from the end time:
1:40 P.M. - 10:00 A.M. = 3 hours and 40 minutes
We convert the 40 minutes to hours by dividing it by 60:
40 minutes ÷ 60 = 0.67 hours
Now we can find the total time taken:
3 hours + 0.67 hours = 3.67 hours
To find the average speed, we divide the total distance by the total time:
Average speed = Total distance ÷ Total time
Average speed = 220 kilometers ÷ 3.67 hours
Calculating this, we get:
Average speed ≈ 59.95 kilometers per hour
Rounding this to the nearest whole number, we conclude that his average speed was approximately 60 kilometers per hour.
Therefore, the answer is (b) 60.
To find Henry's average speed, we need to divide the total distance he drove by the time it took him to drive that distance.
First, let's find out the time duration from 10:00 A.M to 1:40 P.M.
The difference between these two times is 3 hours and 40 minutes.
To convert the 40 minutes into hours, we divide it by 60, since there are 60 minutes in an hour:
40 minutes ÷ 60 = 0.67 hours
So, the total time duration is 3 hours + 0.67 hours = 3.67 hours.
Now, we can calculate the average speed by dividing the total distance Henry drove by the time duration:
Average speed = Total distance ÷ Time duration
Given that Henry drove 220 kilometers and the time duration is 3.67 hours:
Average speed = 220 kilometers ÷ 3.67 hours
Now, let's calculate the average speed:
Average speed = 220 ÷ 3.67 ≈ 59.95
Therefore, Henry's average speed, rounded to the nearest whole number, is 60 kilometers per hour.
So, the correct answer is (b) 60.