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After driving to a riverfront parking lot, Bob plans to run south along the river, turn around and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?

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1.5

3.25

4.75

answer is A.

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Detailed Solution

Concept- Speed, distance and time are related each other by the formula:

.
Since Bob is running constantly for 8 minutes per mile, in 50 minutes he covers

which is 6.25 miles.
The total distance of Bob is 3.25+6.25=9.5 miles
Half the distance he runs south, therefore he runs

miles.
But, he covers 3.25 miles then he runs 4.75-3.25=1.5 miles.
Therefore he can run 1.5 miles farther south.
Hence, the correct option is 1.

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