Question

A passenger plane made a trip to Las Vegas and back. On the trip there it flew 161 mph and on the return trip it went 230 mph. How long did the trip there take if the return trip took 7 hours?

Answer 1

the trip to Las Vegas took approximately 10 hours.

Step-by-step explanation:

Answer 2

The trip from Las Vegas took approximately 3913.14 miles.

Step-by-step explanation:

To find the time it took for the trip from Las Vegas, we can use the formula: Speed = Distance / Time. Let's denote this as:

Speed₁ = 161 mph

Speed₂ = 230 mph

Time₂ = 7 hours

We know that the distance going and returning is the same, so let's denote the distance as 'D':

Distance = D

Using the formula, we can write two equations:

Speed₁ = D / Time₁

Speed₂ = D / Time₂

Substituting the given values, we have:

161 = D / Time₁

230 = D / 7;

To solve for 'D', we can rearrange the second equation to find 'D', and then substitute into the first equation:

230 * Time₁ = 7 * D;

Time₁ = 7 * D / 230;

Substituting the value of Time₁ into the first equation:

161 = (7 * D / 230) / Time₁

Simplifying, we get:

161 * Time₁ = 7 * D / 230;

161 * Time₁ = 7D / 230;

161 * Time₁ = 7D / 230;

Cross multiplying:

161 * 230 = 7D * Time₁;

Simplifying, we get:

D = 161 * 230 / (7 * Time₁);

Substituting the given value of Time₂ into the equation:

D = 161 * 230 / (7 * 7);

Calculating, we get:

D = 3913.14;

Thus, the trip from Las Vegas took approximately 3913.14 miles.