Question

De

M. 14 Solve equations with variables on both sides: word problems BRX
Two drivers, Jada and Zach, enter Highway 98 at the same time, both going west. Jada's
entrance is 43.4 miles west of Rockport City, and Zach's entrance is 56.2 miles west of
Rockport City. Jada drives 70 miles per hour, and Zach drives 62 miles per hour.
If they each keep a constant speed, how many hours will it take for Jada to pass Zach on the
highway?
Simplify any fractions.
Submit
hours

Answer 1

To find out how many hours it will take for Jada to pass Zach on the highway, solve the equation 43.4 + 70t = 56.2 + 62t

Step-by-step explanation:

Solution:

To find the time it takes for Jada to pass Zach on the highway, we can use the equation: distance = rate × time Jada's entrance is 43.4 miles west of Rockport City, and Zach's entrance is 56.2 miles west of Rockport City. Jada drives 70 miles per hour, and Zach drives 62 miles per hour. Let's calculate when Jada will pass Zach:

1. Let's assume Jada passes Zach after 't' hours.
2. Distance traveled by Jada in 't' hours = 70t miles
3. Distance traveled by Zach in 't' hours = 62t miles
4. The equation becomes: 43.4 + 70t = 56.2 + 62t
5. Combine like terms: 8t = 12.8
6. Divide both sides by 8 to isolate 't': t = 1.6

Therefore, it will take Jada 1.6 hours or 1 hour and 36 minutes to pass Zach on the highway.

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