text: F=Ma. \nLet T= tension in the cord.\n\nFor 24kg mass:\n\nF=24g-T\n24g-T=24a\nT=24g-24a\n\nFor 13kg mass:\n\nF=T-13g\nT-13g=13a\n\nSubstitute value of T for 24kg mass:\n\n24g-24a-13g=13a\n37a=11g\na=11g/37\n  =2.91m/s^2\n\nCompute time t:\n\ns=ut+1/2at^2\n\nFor 24kg mass, s=x\n\nx=0+1/2*2.91t^2\n\nFor 13kg mass, s=4-x\n\n4-x=0+1/2*2.91t^2\n\nSubstitute value of s for 24kg mass:\n\n4-1/2*2.91t^2=1/2*2.91t^2\n2.91t^2=4\nt^2=4/2.91\nt=1.17s\n\nSpeed v of 24kg mass is equal to speed of 13kg mass\n\nv=u+at\n\nv=0+2.91*1.17\nv=3.4m/s\n\nThe assumptions here are that tension T in cord for 24kg mass equals that for 13kg mass, acceleration of 24kg mass equals that of 13kg mass, and v of 24kg mass equals v of 13kg mass. The 24kg mass and 13kg mass meet at point x from 24kg mass, and at 4-x from 13kg mass.