A bus and a Lamborghini started travelling from Town Y to Town Z at the same time. After 5 hours, the Lamborghini reached Town Z while the bus covered only ⁷₁₀ of the journey. The speed of the Lamborghini was 27 km/h more than the speed of the bus. Find the speed of the bus.
Extra distance covered by the Lamborghini in 5 h
= 5 x 27
= 135 km

When the Lamborghini reached Town Z:
Distance covered by the Lamborghini = 10 u
Distance covered by the bus = 7 u

Extra distance covered by the Lamborghini 
= 10 u - 7 u
= 3 u

3 u = 135

1 u = 135 ÷ 3 = 45

Distance covered by the bus when the Lamborghini reached Town Z
= 7 u
= 7 x 45
= 315 km

Speed of the bus
= 315 ÷ 5
= 63 km/h

Answer(s): 63 km/h