While performing the tensile test, if we have only one known parameters i.e. cross head travel speed. On the basis of the cross head travel speed, how one can get the strain rate?
If you had predefined cross head speed strain rate was decreasing during the test. You can calculate "initial strain rate" and use only this single value.
Indeed, as Grzegorz answer to you, if you are working at a fixed head speed, your real strain rate will decrease during the progress of the deformation. In the case that the total deformation be small, you can evaluate the strain rate from the "initial strain rate", as Grzegorz suggested. This is what usualy is done.
However, if your total strain is rather high, you can evaluate the strain rate not only at the beginning of the test but also at the end (obviously before the striction previous to fracture) using the final strain. These two value (beginning and end) could be averaged to give the mean value of the real strain rate.