Jerry:
50 mins = 1 detailed car
1 min = 1/50 of the details
Sally:
60 mins = 1 detailed car
1 min = 1/60 of the details
If they work together:
1 min = 1/50 + 1/60 = 11/300 of the details
Total time needed:
300 ÷ 11 = 27.27 mins
Answer: They will need 27.27 mins if they worked together.