A car was on its way from Town W to Town X. After covering ⁴₇ of its journey, it passed a bus which was travelling at an average speed of 63 km/h. 5 hours later, the car reached its destination, but the bus was still 27 km from Town X. If the car had also started from Town W, how long would it take to travel from Town W to Town X? Express your answer as a mixed number.
Fraction of the journey left after the car passed the bus
= 1 - ⁴₇
= ³₇

³₇ of the car's journey = (5 x 63) + 27 = 342 km
¹₇ of the car's journey = 342 ÷ 3 = 114 km
⁷₇ of the car 's journey = 7 x 114 = 798 km

Speed of the car
= 342 ÷ 5
= 68.4 km/h

Time taken for the car to reach Town X
= 798 ÷ 68.4
= 11²₃ h

Answer(s): 11²₃ h