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J3ak06
18.02.2020 •
Mathematics
Ahmed competed in a competition that has a walking part and a biking part. The entire course was 15 miles. On average, Ahmed walks 3 mi/hr and bikes 12 mi/hr. Of the walking part of the competition took 1 hour longer than the biking part, how long did it take Ahmed to complete each part of the competition?
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Ответ:
Walking part: 1hr 48mins
Biking part: 48 mins
Step-by-step explanation:
Total distance covered = 15 miles
Let the time taken for walking = w hours
Let the time taken for biking = b hours
Walking part took one hour longer than the biking part.
So, w = b + 1
// Distance covered, d1 = Speed * time taken
For walking part, d1 = 3 * w = 3w
But w = b + 1
So, d1 = 3(b + 1) = 3b + 3 miles
For biking part, d2 = 12 * b = 12b
d1 + d2 = Total distance covered
3b + 3 + 12b = 15
3b + 12b = 15 - 3
15b = 12
Divide both sides by 15
15b/15 = 12/15
b = 0.8 hour
But, w = b + 1
So, w = 0.8 + 1 = 1.8 hours
Ahmed took 0.8 hour (0.8 * 60min = 48mins) to complete the biking part and 1.8 hours (1hr + 48mins = 1hr 48mins) to complete the walking part
Ответ:
17.4 inches
Step-by-step explanation:
The mean is the average of all the numbers listed in the set. In order to find the mean you must add up all the numbers in the set and divide it by the number of numbers in the set.