Susan drives from city A to city B. After two hours of driving she noticed that she covered 80 km and calculated that, if she continued driving at the same speed, she would end up been 15 minutes late. So she increased her speed by 10 km/hr and she arrived at city B 36 minutes earlier than she planned.
Find the distance between cities A and B.
Pick
A) 223 B) 376 C) 250 D) 378 E) 271
Let xx be the distance between A and B. Since Susan covered 80 km in 2 hours, her speed was V=802=40V=802=40 km/hr.   If she continued at the same speed she would be 1515 minutes late, i.e. the planned time on the road is x40−1560x40−1560 hr. The rest of the distance is (x−80)(x−80) km. V=40+10= 
<gadget id="calculator">40+10</gadget>
<output>50</output>
50V=40+10= 
<gadget id="calculator">40+10</gadget>
<output>50</output>
50 km/hr.   So, she covered the distance between A and B in 2+x−80502+x−8050 hr, and it was 36 min less than planned. Therefore, the planned time was 2+x−8050+36602+x−8050+3660.   When we equalize the expressions for the scheduled time, we get the equation:   x40−1560=2+x−8050+3660x40−1560=2+x−8050+3660   x−1040=100+x−80+3050x−1040=100+x−80+3050   x−104=x+505x−104=x+505   5x−50=4x+2005x−50=4x+200   x=250x=250   So, the distance between cities A and B is 250 km.   Answer:250
<result>C</result>
Susan drives from city A to city B. After two hours of driving she noticed that she covered 80 km and calculated that, if she continued driving at the same speed, she would end up been 15 minutes late. So she increased her speed by 10 km/hr and she arrived at city B 36 minutes earlier than she planned.
Find the distance between cities A and B.