Amanda and alexis live 4 miles apart. they decide to start walking toward each other’s houses at the same time. amanda walks at a rate of 3.5 miles per hour and alexis walks at a rate of 4 miles per hour. how long will it take for them to meet? round to the nearest hundredth of an hour. [remember: d = (r)(t)]

-- Amanda walks at the rate of  3.5 mph .
-- Alexis walks at the rate of  4 mph .
-- The space between them closes at the rate of (3.5 + 4) = 7.5 mph .

They'll meet when the space between them becomes zero.

                                     D  =  (r) (t) .

                                   4 miles  =  (7.5 mi/hr) (t)

Divide each side
by  7.5 mph :              4 mi / 7.5 mph  =  t

                                     t  =  (4/7.5) hour  =  0.53 hour

                                                                   =  32 minutes