WELL SOMEONE HELP ME SOLVER THIS PROBLEM PLEASE!!!!!!
Janet can shovel snow from her driveway in 55 minutes. Jim can do the same job in 50 minutes. How long would it take Janet and Jim to shovel the driveway if they worked together?
janet's rate = driveway/55
jim's rate = driveway/50
combined rate = driveway/55 + driveway/50
= 21driveway/550
so combined time = driveway/(21driveway/550)
= 550/21 minutes or 26.2 minutes
To solve this problem, we can use the concept of rates. Janet can shovel the driveway in 55 minutes, which means her rate of working is 1/55 of the job per minute. Similarly, Jim can shovel the driveway in 50 minutes, so his rate of working is 1/50 of the job per minute.
To calculate the time it would take them to complete the job together, we need to find their combined rate when working together. This is done by adding their individual rates. So, Janet and Jim's combined rate is (1/55) + (1/50) of the job per minute.
We can simplify this by finding a common denominator. The least common multiple of 55 and 50 is 550. So, we can rewrite their combined rate as (10/550) + (11/550) of the job per minute, which simplifies to 21/550 of the job per minute.
Now, we can find the time it would take them to complete the job together by taking the reciprocal of their combined rate. The reciprocal of 21/550 is 550/21.
Therefore, it would take Janet and Jim approximately 26.19 minutes to shovel the driveway if they worked together.