Question

It takes Jerry eight minutes to vacuum the downstairs. Bobby can do the same job in eleven minutes. If they worked together, how long would it take them? Write your answer rounded to two decimal place

Answer 1

Jerry and Bobby would take approximately 4.63 minutes to vacuum the downstairs together.

Step-by-step explanation:

To find out how long it would take Jerry and Bobby to vacuum the downstairs together, we need to calculate their rates of work. Jerry takes 8 minutes to complete the job, so his rate of work is 1/8 of the job per minute. Bobby takes 11 minutes to complete the job, so his rate of work is 1/11 of the job per minute. When they work together, their rates of work are added up.

Therefore, their combined rate of work is 1/8 + 1/11 of the job per minute. To find the time it would take for them to complete the job, we can use the formula: time = 1 / (combined rate of work). Plugging in the values, we have: time = 1 / (1/8 + 1/11) = 1 / (11/88 + 8/88) = 1 / (19/88) = 88/19 minutes. Rounding to two decimal places, the answer is approximately 4.63 minutes.