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Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)

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2 Answers

1 vote

Final answer:

To find how much longer Emma can run and still beat her previous time, set up the inequality 55 minutes + x < 70 minutes, where x represents the additional time Emma can run. Solve for x to get x < 15.

Step-by-step explanation:

To find how much longer Emma can run and still beat her previous time, we need to compare her previous time with the time she has already run and find the difference. In this case, Emma's previous time was 1 hour 10 minutes, which can be written as 70 minutes. Emma has already run for 55 minutes. So, we can set up the inequality as 55 minutes + x < 70 minutes, where x represents the additional time Emma can run. To solve for x, we subtract 55 from both sides: x < 70 - 55, x < 15.

User Jasha
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6.8k points
4 votes
For this case, the first thing that we must take into account is the following conversion:
1 hr = 60 min
The time of the first race in minutes is:
1 hour 10 minutes = 60 minutes + 10 minutes
1 hour 10 minutes = 70 minutes
Now we define one variable:
x: time remaining to beat the previous time
The inequation that models the problem is:

x + 55 \ \textless \ 70
Answer:
An inequality that can be used to find how much longer she can run and still beat her previous time is:

x + 55 \ \textless \ 70
User Conrad
by
6.5k points
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