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Ainhoa went to the college traveling 8 mph and returned home traveling 16 mph. If the total trip took 6
hours, how long did Ainhoa travel at each speed?
hours at 8 mph
Question 7
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hours at 16 mph

Answer 1

Ainhoa traveled 4 hours at 8 mph and 2 hours at 16 mph.

Step-by-step explanation:

Let's represent the time Ainhoa traveled at 8 mph as x hours. Since the total trip took 6 hours, the time she traveled at 16 mph can be represented as (6 - x) hours. We can use the formula: Time = Speed x Distance.

At 8 mph, Ainhoa traveled x hours. Therefore, the distance she traveled at 8 mph is 8x miles.

At 16 mph, Ainhoa traveled (6 - x) hours. Therefore, the distance she traveled at 16 mph is 16(6 - x) miles.

Since the distances traveled at both speeds are equal, we can set up the equation 8x = 16(6 - x) and solve for x.

8x = 96 - 16x

24x = 96

x = 4

Therefore, Ainhoa traveled 4 hours at 8 mph and (6 - 4) = 2 hours at 16 mph.

Learn more about Time and distance