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Tammy bikes the course of a race at 30 miles per hour, then returns home along the same route at 10 miles per hour. If the total time it takes her to travel the course and return home is 2 hours, and if the time spent turning around is negligible, what is the length, in miles, of the race course?

  • a)
    25

  • b)
    20

  • c)
    15

  • d)
    30

  • e)
    35

Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Tammy bikes the course of a race at 30 miles per hour, then returns ho...
When Tammy bikes the course at 30 miles per hour, the time taken can be calculated using the formula:
Time = Distance / Speed
So, the time taken to complete the race course at 30 miles per hour is x / 30 hours.
When Tammy returns home along the same route at 10 miles per hour, the time taken is x / 10 hours.
According to the given information, the total time taken for both trips is 2 hours. Therefore, we can set up the equation:
x / 30 + x / 10 = 2
To solve this equation, we can first find a common denominator by multiplying both sides by 30:
30 * (x / 30) + 30 * (x / 10) = 2 * 30
Canceling out the denominators, we get:
x + 3x = 60
Combining like terms, we have:
4x = 60
Dividing both sides by 4, we find:
x = 15
Therefore, the length of the race course is 15 miles.
So, the correct answer is A) 15.
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Community Answer
Tammy bikes the course of a race at 30 miles per hour, then returns ho...
To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the length of the race course is 'x' miles.

Biking to the race:
Time taken = Distance / Speed = x / 30

Returning home:
Time taken = Distance / Speed = x / 10

Total time taken = Time to the race + Time to return home
2 = x / 30 + x / 10

To solve this equation, we can multiply through by the least common multiple (LCM) of 30 and 10, which is 30.

2 * 30 = x + 3x
60 = 4x
x = 15

Therefore, the length of the race course is 15 miles.

So, the correct answer is option C.
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