# A bus travels for x hours at a speed of (x+2) km/h. If the distance travelled is 15km, find the speed of the bus.

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Expert Answers

jeew-m | Certified Educator

Distance travelled `= (speed)xx(time)`

speed = (x+2)

Time = x

Distance travelled = 15

`x(x+2) = 15`

`x^2+2x = 15`

`x^2+2x-15 = 0`

`x^2+5x-3x-15 = 0`

`x(x+5)-3(x+5) = 0`

`(x-3)(x+5) = 0`

`x = 3` or `x = -5`

Since x represent time it cannot be a negative value. So x = 3.

Speed of the bus `= 3+2 = 5`

*So the speed of the bus is 5km/h.*

*you better walk rather than going this kind of a bus.* :)