An employee earns $175 for 15 hours of work. Assuming he is paid by the hour, how much will he earn in 18 hours?
To find the employee's hourly wage, divide the total earnings by the number of hours worked: $175 / 15 hours = $<<175/15=11.67>>11.67/hour
Multiply the hourly wage by 18 hours to find the employee's earnings: $11.67/hour * 18 hours = $<<11.67*18=210>>210. Answer: \boxed{210}.
D and M begin a 20 mile bike path at the same time. When D reaches the end of the 20 miles, M still has 4 miles left to bike. If D's biking speed is 10 mph, find M's biking speed.
Since we know D's biking speed and the distance she covers (20 miles), we can use the formula speed = distance / time to find the time it takes for D to complete the 20 miles. The time is given by time = distance / speed = 20 miles / 10 mph = 2 hours.
Now that we know D takes 2 hours to complete the 20-mile bike path, we can use the formula speed = distance / time to find M's biking speed. We know M has 4 miles left to bike and it took D 2 hours, so M's biking speed is 4 miles / 2 hours = <<4/2=2>>2 mph.
Therefore, M's biking speed is 2 mph.
Please try again.
Let's consider D's speed as "d" mph and M's speed as "m" mph.
Since D completes the 20-mile bike path while M still has 4 miles left, we can set up the equation:
20 miles / d mph = (20 - 4) miles / m mph
Simplifying this equation, we get:
20 / d = 16 / m
Now, we can cross multiply:
20m = 16d
To find M's biking speed, we can solve this equation for "m":
m = (16d) / 20
Simplifying further, we get:
m = (4d) / 5
Therefore, M's biking speed is (4d) / 5 mph.
One more time
Let's assume M's biking speed is represented by "m" mph.
Since D completes the 20-mile bike path while M still has 4 miles left, we can set up the equation:
M's time = D's time
20 miles / (D's speed) = 4 miles / (M's speed)
Since we know D's speed is 10 mph, we can substitute it into the equation:
20 miles / 10 mph = 4 miles / (M's speed)
Simplifying, we get:
2 hours = 4 miles / (M's speed)
Cross multiplying, we have:
2(M's speed) = 4 miles
Dividing both sides by 2, we get:
M's speed = 4 miles / 2 = 2 mph
Therefore, M's biking speed is 2 mph.