A cricket ball thrown across a field is at heights \[{{h}_{1}},\] and \[{{h}_{2}}\] from point of projection at times \[{{t}_{1}}\] and \[{{t}_{2}}\] respectively after the throw. The ball is caught by a fielder at the same height as that of projection. The time of flight of the ball in this journey is

• A. \[\frac{{{h}_{1}}t_{2}^{2}-{{h}_{2}}t_{1}^{2}}{{{h}_{1}}{{t}_{2}}-{{h}_{2}}{{t}_{1}}}\]
• B. \[\frac{{{h}_{1}}t_{2}^{2}+{{h}_{2}}t_{1}^{2}}{{{h}_{1}}{{t}_{2}}+{{h}_{2}}{{t}_{1}}}\]
• C. \[\frac{{{h}_{1}}{{t}_{2}}}{{{h}_{1}}{{t}_{2}}-{{h}_{2}}{{t}_{1}}}\]
• D. None