At 3:00 p.m., Jamie leaves her house and drives north to the beach. She arrives at 5:30 p.m. Also leaving at 3:00 p.m., her brother Raul leaves her house and drives south to a state park. He arrives at 4:30 p.m. The driving distance from the beach to the state park is 240 mi. Jamie and Raul drove at the same speed. What was their speed?

Respuesta :

Jamie took 2 hour and 30 minutes to reach the because 5:30-3:00=2hours and 30 minutes.Raul took 1 hour 30 minutes to reach state park because 4:30-3:00=1 hour and 30 minutes.Since they went in opposite directions you can add the time to get 4 hour.It would take 4 hours to go from the beach to state park.There speed was 60 miles per hour since 240/60=4/1 mph.
Given:
Jamie: house to beach = 3 pm to 5:30 pm = 2 hours and 30 minutes
Raul: house to state park  = 3 pm to 4:30 pm = 1 hour and 30 minutes

Distance of beach and state park = 240 mi
travel from beach to state park = 2 hours and 30 minutes + 1 hour and 30 minutes = 4 hours

speed = distance / time
s = 240 mi / 4 hours
s = 60 mi/hr

Their speed is 60 miles per hour.