Question

Jason and Hilger are required to paint over the graffiti on a wall. If Jason worked alone,

it
would take him 20 hours to repaint. Working alone, Hilger could do the job in 15 hours. How
long
Will it take them to do the painting if they work together?
(Write your answer as a decimal of hours; do not include units; only use two decimals.)
places)

Answer 1

Jason and Hilger will take approximately 8.57 hours to complete the painting when working together. We get this by calculating their combined work rate and taking the reciprocal to find the total hours needed.

Step-by-step explanation:

To determine how long it will take Jason and Hilger to paint the wall together, we need to calculate their combined work rate. Their individual work rates are 1/20 of the job per hour for Jason and 1/15 of the job per hour for Hilger. When we add these rates together, we get a combined rate of 1/20 + 1/15, which simplifies to (3+4)/60 or 7/60 of the job per hour. To find out how long it will take them to complete the job together, we take the reciprocal of the combined rate: 60/7 hours.

Now, to get our answer to two decimal places, we will divide 60 by 7, which gives us approximately 8.57 hours. Therefore, Jason and Hilger will take about 8.57 hours to complete the painting when working together.