Farmer Steven needs to load his truck up with compost. His tractor can scoop up compost at a rate of 75 pounds per minute. Steven's son, Darrel, wants to help. Using a shovel, Darrel can scoop up 10 pounds per minute. How much time, in minutes, would it take for the two working together at the same time to load up 2550 pounds of compost into the truck? Give me reasons, before answering the question
Working together at the same time, the rate at which the two would be able to load compost would be 75 + 10 = 85 pounds / minute. At 85 pounds / minute, the 2550 pounds could be loaded in 2550 / 85 = 30 minutes. So the final answer is 30.