Tom can complete 5 laps of a race track in 15 minutes. Mark can finish 10 laps in 20 minutes at a speed of 150 miles/hour. How fast is Mark driving compared to Tom?

Mark's time is 10 laps in 20 minutes. 20 minutes * 3 = 1 hour. 10 laps * 3 = 30 laps. Mark has the speed of 150 miles per hour. In an hour he ran 30 laps/150 miles. This means that each lap was 5 miles.

Tom ran 5 laps. 5 laps * 5 miles is 25 miles in 15 minutes. 15 * 4 = 1 hour. 25 * 4 = 100 miles. Tom runs 100 miles per hour.

Mark: 150 minus Tom: 100 miles per hour is 50. Mark is 50 miles faster than Tom.

Tom took 4 secs to run 6 yards, Diane ran 5 yards in 3 secs. Who would get to 30 yards first?

To find out how fast Mark is driving compared to Tom, we need to calculate their respective speeds.

First, let's calculate Tom's speed:
Tom completes 5 laps in 15 minutes. To convert this to hours, we divide by 60 (since there are 60 minutes in an hour):

Tom's speed = 5 laps / 15 minutes * (1 hour / 60 minutes)
= 1/3 lap per minute * (1 hour / 60 minutes)
= 1/3 lap per hour

So, Tom's speed is 1/3 lap per hour.

Now, let's calculate Mark's speed in laps per hour:
Mark completes 10 laps in 20 minutes. Using the same conversion factor as before:

Mark's speed = 10 laps / 20 minutes * (1 hour / 60 minutes)
= 1/2 lap per minute * (1 hour / 60 minutes)
= 1/2 lap per hour

Therefore, Mark's speed is 1/2 lap per hour.

To compare the speeds, we can calculate the ratio of their speeds:
Mark's speed / Tom's speed = (1/2 lap per hour) / (1/3 lap per hour)

To divide by a fraction, we can multiply the dividend by the reciprocal of the divisor:
Mark's speed / Tom's speed = (1/2 lap per hour) * (3/1 lap per hour)
= 3/2

So, Mark is driving at a speed that is 3/2 or 1.5 times faster than Tom.