Janet can shovel snow from her driveway in 55 minutes. Jim can do the same job in 35 minutes.

How long would it take Janet and Jim to shovel the driveway if they worked together? ____ minutes ??

Janet's rate = DW/55

Jim's rate = DW/35

combined rate = DW/55 + DW/35 = 18DW/385

time working together = DW/(18DW/385)
= 385/18
= 21.39 minutes or 21 minutes 23 seconds

To find out how long it would take Janet and Jim to shovel the driveway if they worked together, we can use the concept of their combined work rate.

First, let's calculate Janet's work rate. Janet can shovel the driveway in 55 minutes, so her work rate would be 1/55 of the driveway per minute.

Next, let's calculate Jim's work rate. Jim can shovel the driveway in 35 minutes, so his work rate would be 1/35 of the driveway per minute.

To find their combined work rate, we can add their individual work rates together:
Combined work rate = Janet's work rate + Jim's work rate

Combined work rate = 1/55 + 1/35

To simplify this, we need to find a common denominator, which is 385 (the product of 55 and 35).

Combined work rate = (35 + 55) / 1925

Combined work rate = 90 / 1925

Finally, to determine how long it would take Janet and Jim to complete the task together, we need to find the reciprocal of the combined work rate:

Time taken = 1925 / 90 minutes

Therefore, it would take Janet and Jim approximately 21.39 minutes to shovel the driveway if they worked together.