Problema Solution
2 cars are headed for Las Vegas. One is 50 miles ahead of the other on the same road. The one in front is traveling 60 mph while the second car is traveling 70 mph. How long will it be before the second car overtakes the first car?
Answer provided by our tutors
distance = speed * time
time = distance/speed
let 'd' represent the distance in miles driven by the slower car, then 'd+50' represents the distance driven by the faster car
when they catch up to each other they will have driven the same amount of time, so we set their 'distance/speed' expressions equal to each other:
d/60 = (d+50)/70
solving for 'd' we have d=300
the slower car will drive 300 miles at 60 mph:
300 / 60 = 5
it will take 5 hours for the second car to overtake the first car