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Troyanec [42]
3 years ago
6

Kathy and Brian drove a total of 750 miles in 12 hours. Kathy drove the first part of the trip at 65 mph and Brian drove the res

t of the trip at 55 mph. For what length of the time did Kathy and Brian drive?
Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer:

<u>Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.</u>

Step-by-step explanation:

Let's review the information given to us to answer the question correctly:

Total distance of the trip = 750 miles

Time of the trip = 12 hours

Speed of Kathy = 65 mph

Speed of Brian = 55 mph

2. For what length of the time did Kathy and Brian drive?

Let's solve the problem, this way:

x = Time in hours Kathy drove

12 - x = Time in hours Brian drove

Now, let's write our equation to solve for x:

65x + 55 (12 - x) = 750

65x + 660 - 55x = 750

10x = 750 - 660

10x = 90

x = 90/10

x = 9 ⇒ 12 - x = 3

<u>Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.</u>

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