The shocking incident came to light on Saturday, where the 28-year-old victim was allegedly lynched in Rajasthan's Alwar district by a group of people who accused him of smuggling cows.
"Policemen in #Alwar took 3 hrs to get a dying Rakbar Khan, the victim of a lynch mob, to a hospital just 6 KM away. Why? They took a tea-break enroute," Gandhi said on Twitter.
"This is Modi's brutal 'New India' where humanity is replaced with hatred and people are crushed and left to die," he said.
Gandhi's remarks came soon after a news report claimed that the policemen, before taking the lynch victim to the hospital, stopped to take some refreshment.
Khan and his friend Aslam were taking two cows to their village in Haryana through a forested area near Lalawandi in Alwar district last week when five men attacked them. Three people have been arrested.
Congress MP Karan Singh Yadav raised the issue in the Lok Sabha during Zero Hour and said it was the fourth such incident in the state.
Those who claimed to be 'gau-rakshak' (cow protectors) are behind this murder, he said amid protests by some BJP members- who were not audible- and also attacked the police for wasting time in taking the victim to hospital, leading to his death.