Question

On a particular day, the wind Added 4 miles per hour to Alfonso’s rate when he was cycling with the wing and subtracted 4 miles per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 54 miles with the wind, he could go only 30 miles against the wind. What is his normal bicycling speed with no wind

Answer 1

Answer:

Step-by-step explanation:

Alright, lets get started.

We first assume that Alfonso's bicycling speed with no wind is = x miles per hour

With the wind, his speed will be = $(x+4)$ miles per hour

Against the wind, his speed will be = $(x-4)$ miles per hour

For traveling 54 miles with the wind, the time will be = $\frac{54}{(x+4)}$

For traveling 30 miles against the wind, the time will be = $\frac{30}{(x-4)}$

Alfonso found that both the timings are same, so

$\frac{54}{(x+4)}=\frac{30}{(x-4)}$

Cross multiplying

$54*(x-4) = 30 * (x+4)$

$54x - 216 = 30x + 120$

Solving for x

$54x - 30 x = 120 + 216$

$24x = 336$

Dividing 24 in both sides

$x = 14$

So, Alfonso's normal bicycling speed with no wind is 14 miles per hours. : Answer

Hope it will help :)