A cyclist travels 40 km at a speed of x km/h. Find the time taken in terms of x. Find the time taken when his speed is reduced by 2 km/h. If the difference between the times is 1 hour. Find the original speed x.

Question

ajprincess · Answer

$$speed=\frac{ distance }{ time }$$
$$x=\frac{40}{time}$$
$$time=\frac{40}{x}$$
After the speed is reduced by 2km/h the new speed will be x-2km/h
$$speed=\frac{ distance }{ time }$$
$$x-2=\frac{40}{time}$$
$$time_1=\frac{40}{x-2}$$
$$time-time_1=1$$
$$\frac{40}{x}-\frac{40}{x-2}=1$$
Can u solve for x nw?

anonymous · Answer

x=10

ajprincess · Answer

Yup u  r right.
The last eqn I gav u to solve shud be
$$\frac{40}{x-2}-\frac{40}{x}=1$$
and when u solve this u will get
x=10