maria can shovel snow from her driveway in 35 min. tom can do the same job in 45 min. how long would it take maria and tom to shovel the driveway if they worked together?
The combined rate is
1/35 driveway/min + 1/45 driveway/min
= 0.05079 driveways/min
= 1/19.68 driveways/min
One driveway will take 19.68 minutes to do when they work together.
To find out how long it would take Maria and Tom to shovel the driveway if they worked together, you can use the formula:
1/Time taken by Maria + 1/Time taken Tom = 1/Time taken together
Let's calculate the time taken together:
1/35 + 1/45 = 1/T
To simplify the equation, you can find the common denominator:
(45 + 35)/(35*45) = 1/T
80/1575 = 1/T
Now, cross multiply:
80T = 1575
Divide both sides by 80:
T = 1575/80
T ≈ 19.69
Therefore, it would take Maria and Tom approximately 19.69 minutes to shovel the driveway if they worked together.
To find out how long it would take Maria and Tom to shovel the driveway if they worked together, we need to calculate their combined work rate.
First, let's calculate Maria's work rate. If she can shovel the snow from her driveway in 35 minutes, it means she can complete 1/35th of the job in 1 minute.
Similarly, Tom can complete 1/45th of the job in 1 minute since he can shovel the driveway in 45 minutes.
To find the combined work rate, we add their individual work rates together. So the work rate of Maria and Tom combined is 1/35 + 1/45.
To add the two fractions, we need to have a common denominator. In this case, the common denominator is 35 * 45 = 1575.
So the combined work rate is (45/1575) + (35/1575) = 80/1575.
To find out how long it would take Maria and Tom to shovel the driveway together, we can use the combined work rate of 80/1575. If we let x represent the time it takes them to complete the job together, we can set up the equation:
(80/1575) * x = 1
Now we can solve for x:
80x = 1575
x = 1575/80
x = 19.6875
Therefore, it would take Maria and Tom approximately 19.7 minutes to shovel the driveway if they worked together.