The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their race to the finish, the Jacksons immediately took off traveling at an average speed of vvv kilometers per hour. The Simpsons' start was delayed by an hour. When they eventually took off, they traveled at an average speed that was 404040 kilometers per hour faster than the Jacksons' speed. Sadly for them, that didn't help, and the Jacksons won. Write an inequality in terms of vvv that models the situation.

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sped5015 sped5015 · Answer 1 · 2021-04-18T01:03:56+02:00

Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h: 240/v

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AFOKE88 AFOKE88 · Answer 2 · 2022-06-29T14:03:13+02:00

An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v

We are told that distance travelled by both Jackson and Simpson is 240 km each.

Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v

The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;

Time taken = [240/(v + 40)] + 1

Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v

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