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38. The time taken by Ram to cover 150 kmin one direction was 150 minutes morethan the time in the return journey. If hereturned at a speed of 10 km/h more thanthe speed of onward journey, then findHiU45. Twthe speed of Ram in each direction.GBSE March 2012]

Answer»

Let speed of Ram in onward direction = vspeed of Ram in returned direction = v + 10As per given condition150/v - 150/(v+10) = 150/60v +10 - v = v(v+10)60*10 = v^2 + 10vv^2 + 30v - 20v - 600=0v(v+30) - 20(v + 30)=0(v-20)(v+30)=0v = 20, - 30

Speed of Ram in one direction = 20km/hrSpeed of Ram in return direction= v + 10 = 20 + 10 = 30km/hr



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