Question

jason cycled for 3 hours. He cycled 7 1/2 miles each hour for the first 2 hours and the distance he cycled for the 3rd hour was 1/4 of the total distance he cycled in 3 hours. What was the total distance Jason cycled in 3 hours?

Answer 1

Answer:

The total distance cycled by Jason in 3 hours were 20 miles.

Step-by-step explanation:

To find the total distance cycled in 3 hours, first we have to calculate the miles cycled in the first 2 hours, this is:

$2HoursDist=7.5\frac{miles}{hour} *2hour=15miles$

In the first 2 hours Jason cycled 15 miles, now we can apply the distance cycled in the 3rd hour:

$TotalDistance=15+\frac{1}{4}*TotalDistance\\\frac{3}{4}TotalDistance=15\\TotalDistance=20miles$

The total distance cycled by Jason in 3 hours were 20 miles.

Answer 2

7 1/2 * 2 = 15

The 3rd hour was 1/4 of the total distance in 3 hours. 

1/4 = 0.25 as a decimal, and 25% as a percent. 

15 (0.25) = 3.75
15 + 3.75 = 18.75

0.75 = 3/4 as a fraction.

So, he cycled 18 3/4 miles in 3 hours. 

I hope this helps, and I am sorry if I get this question wrong. (which is in all likelihood)