15 shippers load 35 load/hr. 10 truckers haul 20 load/hr. How many shippers need to be moved to hauling to = loaded and shipped loads

Question

word problem

Answer 1

ASSUMING each shipper HAULs the same rate of speed as the rest of the HAULers

 

 

Each shipper loads 35/15 = 7/3 loads per hour

 

Each trucker hauls 20/10 = 2 loads per hour

 

 

 

(15-x)*(7/3) = (10+x)*2

 

35 - (7/3)x = 20 + 2x

 

15 = (2 + 7/3)x

 

15 = (13/3) x

 

x = 15*3/13 = 45/13 = 3 and 6/13