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

Question

2 months ago

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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]

Mathematics

1 answer:

tester [12.3K] · Answer 1 · 2026-03-10T16:52:50+03:00

Answer:

Step-by-step explanation:

There are two distinct issues to address, correct?

1, The overall duration T required to fly from New York to Los Angeles:

Time = Distance/average speed

2, The problem related to the race:

A) The total duration of the race would be:

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

B) For swimming at an average pace of 2 miles per hour, this means r=2.

Substituting r=2 allows us to calculate the total time needed as follows:

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

When rounding the result: 1.84047 hours rounds to 110 minutes