SOLUTION: From a point on a river, two boats are driven in opposite directions, one at 8 mph and the other at 11mph. In how many hours will they be 57 miles apart?

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Question 403749: From a point on a river, two boats are driven in opposite directions, one at 8 mph and the other at 11mph. In how many hours will they be 57 miles apart?
Found 2 solutions by septimus98, MathTherapy:
Answer by septimus98(1) About Me  (Show Source):
You can put this solution on YOUR website!
This is a really simple problem to solve. What you need to do is divide 8 by 57 and 11 by 57. Add the numbers you get together and you have your answer.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
From a point on a river, two boats are driven in opposite directions, one at 8 mph and the other at 11mph. In how many hours will they be 57 miles apart?

Distance%2FSpeed = Time

Distance = 57 miles. In this case, we can easily add the speeds to get a total speed of 19 (8 + 11) mph

We therefore have: 57%2F19 = highlight_green%283%29 hours
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We also could have solved by adding the distances traveled by both vehicles and solving

In other words, Distance traveled by slower vehicle + distance taveled by faster vehicle = 57 miles

Let the time it takes the vehicles to cover their respective distances be T

Distance traveled by slower vehicle = 8T

Distance taveled by faster vehicle = 11T

As mentioned before, distance traveled by slower vehicle + distance taveled by faster vehicle = 57 miles

8T + 11T = 57

19T = 57

T, or time taken = 57%2F19 = highlight_green%283%29 hours.