Afire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. a fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. a fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap. part a write an equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g. write an equation to relate the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.