Question: "The crisis began around 10 am yesterday when a 10-foot wide pipe in Weston sprang a leak, which worsened throughout the afternoon and eventually cut off Greater Boston from the Quabbin Reservoir, where most of its water supply is stored. Before water was shut off to the ruptured pipe [at 6:40 pm], brown water had been roaring from a massive crater [at a rate of] 8 million gallons an hour rushing into the nearby Charles River." Let r(t) be the rate in gallons/hr that water flowed from the pipe t hours after it sprang its leak.
Which is larger: 0∫4 r(t) dt or 4r(4)?