Algebra story problem help?

Question

Rosa drives to barnsville at 50 mi/h and returns by a road 5 miles longer at 40 mi/h, the return trip takes 15 min longer. How long is each road.


Please write out an equation!

Answer 1

We know that d = rt, so we can use this to figure out information for both the trip and the return.

Rosa goes to Barnsville, and she's going 50 mph. So, we have d = 50t.

On her way back, we see that she took a different route that took longer. So from this, the distance is 5 miles longer, and the time is 0.25 more (converting to hours instead of using minutes). So we have a second equation that says d + 5 = 40(t + 0.25).

So you really have two equations:

d = 50t
d + 5 = 40(t + 0.25)

...and you can solve them as a system to figure out both the length of each road and the time she took traveling.

We can substitute d = 50t into the other equation to get rid of the d and focus on solving for t:

d + 5 = 40(t + 0.25)
50t + 5 = 40(t + 0.25)
50t + 5 = 40t + 10
10t = 5
t = 0.5

Now that we have this, we can solve for the first distance:

d = 50t
d = 50(0.5)
d = 25 miles

And since the return trip was 5 miles longer, that road is then 30 miles long.

Answer 2

if "x" equals style of females then .9x equals style of boys x + .9x = 2622 a million.9 x = 2622 divide each and each side by ability of a million.9 x (style of females) = 2622/a million.9 x = 1380 style of boys = .9 * 1380 or 1242