Jenny peddled her bike 30 miles in 40 minutes. If she traveled at the same speed, how far would she travel in 3 hours?

Jenny cycles the grand distance of 29 and one third of a mile.

Step-by-step explanation:

I want to answer this using fractions and without multiplying by an awkward recurring decimal.

Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes

To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.

22 x (4/3) = 88/3

Jenny will travel 88/3 miles in 2 hours.

Not happy with top heavy fractions?

Let's round up 88/3 to 90/3 by adding 2/3.

90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.

Jenny cycles the grand distance of 29 and one third of a mile.

I think that is the correct answer.