Lily takes a train each day to work that averages 35 miles per hour . On her way home her train ride follows the same path and averages 45 miles per hour . If the total trip takes 2.5 hours , what equation can be used to find n, the number of miles Lilly's homes is for work

Answer:49.2 milesStep-by-step explanation:The distance remains the same.                        dThe time spent on the outbound trip is t1 = -------------                                                                          35 mphand that on the inbound (return) trip is                                                                               d                                                                 t2 = -------------                                                                          45 mphWe combine these two fractions and set the sum = to 2.5 hours:d(1/35 + 1/45) = 5/2We wish to solve for d, the distance between home and work.The LCD of 35, 45 and 2 is 630.1/35 becomes 18/630; 1/45 becomes 14/630, and 5/2 becomes 1575/630.  Then we have the simpler equation   d(18 + 14) = 1575, ord(32) = 1575, and d is thend = 1575/32 = 49.2 miles