Sue can shovel snow from her driveway in 45 minutes. Jim can do the same job in 55 minutes. How long would it take them if they worked together?
T = t1*t2 / (t1+t2),
T = 45*55 / (45+55) = 24.75Min.
Maria can shovel snow from her driveway in 50 min. Tom can do the same job in 55 minutes. how long would it take Maria and Tom to shovel the driveway if they work together?
To determine how long it would take Sue and Jim to shovel snow together, we can use the concept of their work rates.
Sue's work rate is 1/45, which means she can shovel 1 driveway's worth of snow in 45 minutes.
Jim's work rate is 1/55, meaning he can shovel 1 driveway's worth of snow in 55 minutes.
If we add up their work rates, we can find their combined work rate when they work together. So:
Combined work rate = Sue's work rate + Jim's work rate
Combined work rate = 1/45 + 1/55
To simplify this, we need to find a common denominator:
Combined work rate = (55/55)(1/45) + (45/45)(1/55)
= 55/2475 + 45/2475
= (55 + 45)/2475
= 100/2475
Now, we can determine how long it would take them to shovel snow together by taking the reciprocal of their combined work rate:
Time taken together = 1 / Combined work rate
= 1 / (100/2475)
= 2475/100
= 24.75 minutes
Therefore, it would take Sue and Jim approximately 24.75 minutes to shovel snow together if they both work at their normal rates.