A car was on its way from Town W to Town X. After covering ¹₅ of its journey, it passed a van which was travelling at an average speed of 69 km/h. 5 hours later, the car reached its destination, but the van was still 31 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 van
= 1 - ¹₅
= ⁴₅

⁴₅ of the car's journey = (5 x 69) + 31 = 376 km
¹₅ of the car's journey = 376 ÷ 4 = 94 km
⁵₅ of the car 's journey = 5 x 94 = 470 km

Speed of the car
= 376 ÷ 5
= 75.2 km/h

Time taken for the car to reach Town X
= 470 ÷ 75.2
= 6¹₄ h

Answer(s): 6¹₄ h