Two bodies are projected with same initial speed at different angle of projection`alpha_1` and `alpha_2 ` respectively. The corresponding times of flight are` t_1` and `t_2` . If both of them has same range, the ratio `t_1//t_2` is
range= (u^2sin^2alpha)/2g(alpha is the angle of projection)
range1=range2 and also their initial velocities are equal
=> sin^2alpha1=sin^2alpha2
=>sin(alpha1)=sin(alpha2)
but time of flight i.e t=2usin(alpha)/g
=>t1/t2= sin(alpha1)/sin(alpha2)= 1