A car was on its way from Town D to Town E. After covering ⁷₁₀ of its journey, it passed a bus which was travelling at an average speed of 75 km/h. 10 hours later, the car reached its destination, but the bus was still 33 km from Town E. If the car had also started from Town D, how long would it take to travel from Town D to Town E? Express your answer as a mixed number.
Fraction of the journey left after the car passed the bus
= 1 - ⁷₁₀
= ³₁₀

³₁₀ of the car's journey = (10 x 75) + 33 = 783 km
¹₁₀ of the car's journey = 783 ÷ 3 = 261 km
¹⁰₁₀ of the car 's journey = 10 x 261 = 2610 km

Speed of the car
= 783 ÷ 10
= 78.3 km/h

Time taken for the car to reach Town E
= 2610 ÷ 78.3
= 33¹₃ h

Answer(s): 33¹₃ h