Belle is swimming in the lake and is 230 feet from shore. She starts to head back to shore at arate of 2ft/s. Ten seconds later, Max hops in a row boat and rows towards Belle at a rate of 5 ft/s. How many seconds will Bell have been swimming when Max reaches her?

Question

Belle is swimming in the lake and is 230 feet from shore. She starts to head back to shore at arate of 2ft/s. Ten seconds later, Max hops in a row boat and rows  towards Belle at a rate of 5 ft/s. How many seconds will Bell have been swimming when Max reaches her?

Steve · Answer

between the two, they cover the 230 ft. So, after Belle has been swimming x seconds, 2x + 5(x-10) = 230 2x + 5x - 50 = 230 7x = 280 x = 40