Question

The total time T (in hours) needed to fly from New York to Los Angeles and back can be modeled by the equation below, where d is the distance (in miles) each way, a is the average airplane speed (in miles per hour), and j is the average speed (in miles per hour) of the jet stream. Simplify the equation. Then find the total time it takes to fly 2468 miles when a=510 miles per hour and j=115 miles per hour. Round your answer to the nearest tenth.
A.) Write a model for the total time t (in hours) it takes to complete the race.

B.) How long does it take to complete the race if you can swim at an average speed of two miles per hour? Round your answer to the nearest minute.

[Note: Please help me, I just can’t seem to figure this one out Thank you]

Answer 1

Answer:

Step-by-step explanation:

I understand that there are 2 problems here, that's right?

1, The total time T to fly from New York to Los Angeles:

Time= Distance/average speed

2, The problem with the race:

A) The total time for the race is:

$t=\frac{0.5}{r} +\frac{22}{15r} + \frac{6}{r+5}$

B) If you can swim at 2 miles per hour, that means r=2.

We replace r=2 and we will find the total time that we need like:

$t=\frac{0.5}{2} +\frac{22}{15*2} + \frac{6}{2+5}= 0.25 + 0.73333+ 0.85714=1.84047$

For rounding the answer: 1.84047 hours= 110 minutes