Rachel is training for a cycling tournament. She can bike 2 /14 miles in 1/5 of an hour. At this rate, how many miles can she bike in 1 1/3 hours?
If Rachel can bike 2 1/4 miles in 1/5 of an hour, then in 1 hour, she can bike 2 1/4 * 5 = <<2+1/4*5=13>>13 3/4 miles.
In 1 1/3 hours, she can bike 13 3/4 * 4/3 = <<13+3/4*4/3=19>>19 miles. Answer: \boxed{19}.
15 miles
15 miles
11 1/4 miles
12 7/12 miles
45 miles
I apologize for the error in my previous response. Let's recalculate correctly:
Since Rachel can bike 2 1/4 miles in 1/5 of an hour, we need to multiply the distance by 5 and the time by 5 to get the distance she can bike in 1 hour.
2 1/4 * 5 = 11 1/4 miles.
In 1 1/3 hours, we can calculate the total distance by multiplying the distance she bikes in 1 hour by 1 1/3.
11 1/4 * 4/3 = 15 miles.
So, Rachel can bike 15 miles in 1 1/3 hours.
To find out how many miles Rachel can bike in 1 1/3 hours, we first need to determine the rate at which she can bike.
We are given that Rachel can bike 2 1/4 miles in 1/5 of an hour. To find her rate, we divide the distance biked (2 1/4 miles) by the time taken (1/5 hour):
Rate = Distance / Time
Rate = (2 1/4 miles) / (1/5 hour)
To simplify the calculation, we convert the mixed number (2 1/4) to an improper fraction:
Rate = (9/4 miles) / (1/5 hour)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Rate = (9/4 miles) * (5/1 hour)
Cancel the units to find the rate:
Rate = (9/4) * (5/1) = 45/4 miles/hour
Now that we know Rachel's rate is 45/4 miles/hour, we can determine how many miles she can bike in 1 1/3 hours. To do this, we multiply her rate by the time taken:
Distance = Rate * Time
Distance = (45/4 miles/hour) * (4/3 hours)
Cancel out the units:
Distance = (45/1) * (1/3) = 45/3 = 15 miles
Therefore, Rachel can bike 15 miles in 1 1/3 hours.