You are driving on a Canadian freeway to a town that is 200 kilometers from your home. After 30 minutes you pass a freeway exit that you know is 50 kilometers from your home. Assuming that you continue at the same constant speed, how long will it take for the entire trip?
I did:
50km/30min = 120km/h
200*30/ 50 =h
120 =h
but I got 120 mins wrong.
first, 50km/30min = 100km/hr
so, 200 km takes 2 hr
that's 120 min, but maybe they wanted the time in hours.
you are kind of sloppy with the units in your calculations, switching back and forth between minutes and hours.
thanks oobleck
50km/0.5h = 100 km/h.
T = (200-50)/100 = 1.5 h.
To determine the time it will take for the entire trip, you need to calculate the time it took to travel from the freeway exit (50 km) to your destination (200 km).
First, let's find the time it took to travel from the freeway exit to your destination. Since the distance is 150 km (200 km - 50 km) and you were driving for 30 minutes, we need to convert minutes to hours.
30 minutes = 30/60 = 0.5 hours
Next, use the formula speed = distance/time to find the speed at which you were driving. Rearranging the formula, we have time = distance/speed. Substituting the values, we get:
Time = 150 km / speed
Since you were driving at a constant speed, the speed remains the same throughout the trip. Therefore, you can use the speed you calculated previously (120 km/h).
Time = 150 km / 120 km/h
Time = 1.25 hours
Now, to find the total time for the entire trip, you need to add the time it took to travel from the freeway exit (30 minutes or 0.5 hours) to the time it took to travel from the freeway exit to your destination (1.25 hours).
Total time = 0.5 hours + 1.25 hours
Total time = 1.75 hours
So, it will take 1.75 hours (or 1 hour and 45 minutes) for the entire trip.