part 1
Simpson drives his car with an average veloc-
ity of 47.5 km/h to the east.
How long will it take him to drive 137 km
on a straight highway?
Answer in units of h
part 2
How much time would Simpson save by in-
creasing his average velocity to 105 km/h to
the east?
Answer in units of min
1. d = Vt,
t = d / V = 137 / 47.5 = 2.88h.
2. t = 137 / 105 = 1.3h.
Ts=2.88 - 1.3 = 1.58h = 94.5min. = Time saved.
part 1:
To calculate the time it will take Simpson to drive 137 km, we can use the formula:
time = distance / velocity
In this case, the distance is 137 km and the velocity is 47.5 km/h. Substituting these values into the formula:
time = 137 km / 47.5 km/h
Dividing 137 by 47.5, we get:
time = 2.88 hours
Therefore, it will take Simpson approximately 2.88 hours to drive 137 km on a straight highway.
part 2:
To calculate how much time Simpson would save by increasing his average velocity, we need to find the difference in time when he drives at 47.5 km/h and 105 km/h.
Using the formula from part 1, we can calculate the time it would take Simpson to drive 137 km at 105 km/h:
time = 137 km / 105 km/h
Dividing 137 by 105, we get:
time = 1.30 hours
Now, to find the time savings, we subtract the time it would take at 105 km/h from the time it would take at 47.5 km/h:
time savings = 2.88 hours - 1.30 hours
Subtracting the times, we get:
time savings = 1.58 hours
To convert this to minutes, we multiply the time savings by 60 since there are 60 minutes in an hour:
time savings = 1.58 hours * 60 minutes/hour
Multiplying 1.58 by 60, we get:
time savings = 94.8 minutes
Therefore, Simpson would save approximately 94.8 minutes by increasing his average velocity to 105 km/h to the east.