The Santiago family drove 750 miles to the beach for
summer break. They drove 5 miles per hour faster going to
the beach than returning home. If the difference between
the number of hours they traveled going to the beach and
returning home is 5 hours, what was the average speed
when they were on their way to the beach?
Answers
Answer:
30 Miles per hour
Step-by-step explanation:
Common sense nalang wag tanga.
Given : The Santiago family drove 750 miles to the beach for summer break.
They drove 5 miles per hour faster going to the beach than returning home.
The difference between the number of hours they traveled going to the beach and returning home is 5 hours,
To Find : the average speed when they were on their way to the beach
Solution:
average speed when they were on their way to the beach = x miles per hr
They drove 5 miles per hour faster going to the beach than returning home.
Hence average speed while returning = x - 5 miles per hr
Distance = Speed * Time
Distance = 750 miles
Time in going beach = 750/x hrs
Time in Returning = 750/(x - 5) hrs
750/(x - 5) - 750/x = 5
=> 150/(x - 5) - 150/x = 1
=> 150(x - x + 5) = x(x - 5)
=> 750 = x² - 5x
=> x² - 5x - 750 = 0
= > (x - 30)(x + 25) = 0
=> x = 30 as speed can not be negative
Hence average speed when they were on their way to the beach = 30 miles per hour
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