The problem is a work-rate problem in mathematics where the combined working rates of three trucks, each with their own individual completion times, are used to find the value of t hours it takes them to collectively move a load of mulch.
The question involves finding a specific value of t when three trucks, A, B, and C, have different individual times to complete a job featuring moving a load of mulch.
All three working together accomplish the task in t hours.
Individually, truck A requires t + 14 hours, truck B needs t + 24 hours, and truck C requires t + t hours to finish the job on their own.
We can express the rate at which each truck works in terms of mulch per hour.
Adding these rates gives us the combined rate when all three trucks work together:
Truck A's rate: 1 / (t + 14)
Truck B's rate: 1 / (t + 24)
Truck C's rate: 1 / (t + t)
Combined rate: 1 / t
Equating the sum of the individual rates to the combined rate:
1 / (t + 14) + 1 / (t + 24) + 1 / (2t) = 1 / t
By solving this equation for t, we would determine the time it takes for all three trucks working together to move the mulch.