A car left town A towards town B driving at a speed of V = 32 km/hr. After 3 hours on the road the driver stopped for 15 min in town C. Because of a closed road he had to change his route, making the trip 28 km longer. He increased his speed to V = 40 km/hr but still he was 30 min late. Find the distance the car has covered.  Choose the correct choice from the following options.
A) 114  B) 115  C) 116  D) 117  E) 118
The driver did not plan the stop at C. Suppose it took x hours for him to get from C to B. Then the distance is S=40⋅x km. It took x−3060−1560=x−4560=x−34 h to drive from C to B. The distance from C to B is 32(x−34) km, which is 28 km shorter than 40⋅x, i.e.   32(x−34)+28=40x   32x−24+28=40x   4=8x   x=12hr⋅x=30min. Then the time of the trip from C to B was 30 min. The distance covered equals 3⋅32+12⋅40=96+20= 
<gadget id="calculator">96+20</gadget>
<output>116</output>
116km.   So answer is 116.
<result>C</result>
A car left town A towards town B driving at a speed of V = 32 km/hr. After 3 hours on the road the driver stopped for 15 min in town C. Because of a closed road he had to change his route, making the trip 28 km longer. He increased his speed to V = 40 km/hr but still he was 30 min late. Find the distance the car has covered.