Question 50·50 Super-Hard SAT Problem Solving and Data Analysis Questions·Problem Solving and Data Analysis

A distance share is a segment's part of the whole flight. The two segments account for 100% of the distance. Subtract the first segment's share:

So the first-to-second distance ratio is $30:70$.

The first speed is 25% greater than the second, not $25\%$ of it. Add the increase to the full second speed:

So if the second speed is $v$, the first speed is $1.25v$.

Time is distance divided by speed. Let $r$ be the first segment's time divided by the second's. Divide the distance ratio by the speed ratio; the unknown total distance and $v$ cancel:

Type $r=\frac{30/70}{1.25}$ in Desmos. It shows about $0.342857$; tap the fraction button to see $\frac{12}{35}$. Because the first segment is faster, divide its distance share by $1.25$, rather than multiplying it.

Let $x$ be the minutes on the second segment. The time ratio $r$ says the first segment takes $rx$ minutes. The flight is nonstop, so those two times make the given total:

Don't give the second segment $70\%$ of the time: $70\%$ is its share of the distance.

Type $rx_{1}+x_{1}\sim141$ below the $r$ line. In a Desmos regression, $x_{1}$ is the unknown to find and $\sim$ asks Desmos to match the two sides. Under PARAMETERS, it shows $x_{1}=105$. Since $x$ counts minutes on the second segment, the drone spends $105$ minutes there. Grid in 105.