Vincent has already finished 5 oil changes today, and can complete more at a rate of 1 oil change per hour. Warren just came on
shift, and can finish 2 oil changes every hour. Sometime during the day, the friends will be tied, with the same number of oil changes completed. How long will that take? How many oil changes will Vincent and Warren each have done?
![4 \pi ^{2} r ^{3} = T^{2}GM \\ r^{3} = \frac{T ^{2} GM}{4 \pi^{2} } \\ r = \sqrt[3]{ \frac{T ^{2}GM }{4 \pi ^{2} } }](https://tex.z-dn.net/?f=4%20%5Cpi%20%5E%7B2%7D%20r%20%5E%7B3%7D%20%3D%20T%5E%7B2%7DGM%20%5C%5C%20r%5E%7B3%7D%20%20%3D%20%5Cfrac%7BT%20%5E%7B2%7D%20GM%7D%7B4%20%5Cpi%5E%7B2%7D%20%7D%20%20%5C%5C%20r%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7BT%20%5E%7B2%7DGM%20%7D%7B4%20%5Cpi%20%20%5E%7B2%7D%20%7D%20%7D%20%20)