# math

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A race car driver starts along a 50-mile race course traveling at an average speed of 90 mph. Fifteen minutes later a second driver starts along the same course at an average speed of 120 mph. Will the second car overtake the first car before the drivers reach the end of the course?

• math -

First race car driver:

time = distance / speed

time = 50 miles / 90 mph

time = 0.55556 x 60

time = 33 minutes 20 seconds

The first race car driver will took 33 minutes & 20 seconds to finish the race

Fifteen minutes later a second race car drive start

time = distance / speed

time = 50 miles / 120 mph

time = 0.41667 x 60

time = 25 minutes

The second race car driver will took 25 minutes to complete the 50 miles

Now, add 25 minutes & 15 minutes = 40 minutes

Therfore, the first race car driver will finish 6 minutes & 40 seconds before the second race car driver.

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