A simplified mathematical model of tandem suspension is presented to study the different parameters of tandem suspension. The equations of motion are compiled considering the system to be 3 degrees of freedom system, taking into accounts both oscillation and deflection of the leaf spring. The response characteristics for vibration isolation for the company test track road profiles at different speeds of the vehicle are calculated. The sensitivity of acceleration to variations in un-sprung masses and axle spacing is illustrated. Further, the usefulness of the model for studying the effect of shock absorber positioning on ride of tandem bogie suspension system is demonstrated.