Jones can paint a car in 8 hours. Smith can paint the same car in 6 hours. They start to paint the car together. After 2 hours, Jones leaves for lunch and Smith finishes painting the car alone. How long does it take Smith to finish?

Step-by-step explanation:

It's no wonder that no one wanted to answer this...it was really mind-boggling!

If Jones can paint a car in 8 hours, then he gets 1/8 of the job done in 1 hour. If Smith can paint the car in 6 hours, then he gets 1/6 of the job done in 1 hour. We need to find out how long it would take them to get the whole job done if they work together. Even though we are asked to find out how long it will take Smith to finish when Jones ditches him, we have to start here first. The work equation for that problem is

. The LCD is 24x, so mutliplying everything by 24x gives us the new equation

3x + 4x = 24 and

7x = 24 so

x = 3.428571429 hours. Working together they get 100% of the job done in 3.428571429 hours. Therefore, if 100% of the job is done in 3.428571429 hours, we can use that to find the percentage they get done working together for 1 hour:

Cross multiply to get

100% = (3.428571429)x% and divide to get

% of the job gets done in 1 hour when they work together. But they work 2 hours together, so that means that in 2 hours, right when Jones leaves, % of the car is done, leaving Smith with % to finish on his own.

We go back to the beginning where we determined that Smith can finish 1/6 of the car alone in 1 hour, so he gets % done per hour on his own.

If he can finish 16.66666% of the car in an hour on his own, we can use ratios to find out how long it will take him to finish the remaining 41.6666% on his own.

Cross multiply to get

16.6666x = 41.6666 so

x = 2.5

It will take Smith 2.5 hours to finish the job after Jones leaves.

89

step-by-step explanation:

the degrees would remain the same ( the number to the left of the decimal point.

the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.

then multiply the decimal portion of that by 60 for the seconds and round off as needed.

39 .956652

the 39 remains the degrees.

the minutes = 0.956652 x 60 = 57.39912

the minutes = 57

the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)

so 39.956652 = 39 degrees, 57 minutes and 24 seconds

-75.159809

the -75 remains the degrees

the minutes = 0.159809 x 60 = 9.58854

the minutes = 9

the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds

so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.

the first coordinate is north or south, since it it positive it is north.

the second number is east or west, because it is negative it is west.

39 degrees, 57 minutes and 24 seconds n

-75 degrees, 9 minutes and 35.3 seconds w