Steve is driving to a ski resort. At first, he drove at a rate of 65 mph. Then a snow storm started and he had to slow down to 40 mph. In total. it took him 6 hours to drive 310 miles. Which system of equations represents this situation?
A. 6x + y= 1
x + y= 310
B. x + y= 105
6x + 40y=310
C. 310x + 65y= 40
x + y= 65
D. x + y=6
please help
i think its d
I came here for answers, i also think its d tho, this might be 4 years later but i think its d
To solve this problem, we need to set up a system of equations that represents the given situation.
Let x be the time (in hours) that Steve drove at 65 mph, and y be the time (in hours) that he drove at 40 mph.
According to the given information, we know that the total time it took Steve to drive to the ski resort is 6 hours, and the total distance is 310 miles.
Using the formula distance = rate × time, we can set up the following equations:
Equation 1: x + y = 6 (since the total time is 6 hours)
Equation 2: 65x + 40y = 310 (since the total distance is 310 miles)
Therefore, the correct system of equations that represents this situation is:
B. x + y = 6
65x + 40y = 310