A car travels 25 km an hour faster than a bus for a journey of 500 km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are Select.
A) 25 km/h and 40 km/h, respectively
B) 25 km/h and 60 km/h, respectively
C) 25 km/h and 50 km/h, respectively
D) 25 km/h and 70 km/h, respectively
E) None of these
Let the speed of the bus be x km / h.   Then speed of the car = (x + 25) km / h   ∴ 500/x=500/x+25+10   ⇒ x2 + 25x – 1250 = 0 ⇒ x = 25   Thus, speed of the bus = 25 km/h   Speed of the car = 50 km/h   Answer 25 km/h and 50 km/h, respectively
<result>C</result>
A car travels 25 km an hour faster than a bus for a journey of 500 km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are