Two buses go from Sacramento to San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 10.2 hours for the trip. The speed of the express bus is 25 mph faster than the speed of the local bus. Find the speed of both buses.

Answer: Speed of local bus is 50 mph and speed of express bus is 75 mph

Step-by-step explanation:

let say speed of local bus = x

so speed of express bus = x + 25

Distance = Speed * Time

Distance traveled by local bus = x * 10.2 = 10.2x

Distance traveled by express bus = (x + 25) * 6.8

since Distance traveled by local bus is same as Distance traveled by express bus

⇒10.2x = (x + 25) * 6.8

⇒ 10.2x = 6.8x + 170

⇒ 10.2x - 6.8x = 170

⇒ x = 170/3.4 = 50

So Speed of local bus = x = 50 mph

and Speed of express bus = x + 25 = 50 + 25 = 75 mph