A wave of assassinations has hit urban centres since peace talks began between the Taliban and the Afghan government last year in Doha, many of them targeting government employees, health workers, media and civil society members.
“Today was the second day of our operations after three months but we have to suspend it once again,” Mohammad told Reuters news agency, adding that all those killed were men.
Gunmen killed three female polio vaccination workers in Jalalabad in March this year, which forced the health workers to suspend their operations and assess security.
Afghanistan and Pakistan are the only countries in the world where polio remains endemic.
No group claimed responsibility for Tuesday’s attacks.
The Taliban, which is fighting to overthrow the foreign-backed Afghan government, has denied involvement in previous attacks.
The ISIL (ISIS) group has also taken responsibility for several targeted killings that have taken aim at the country’s nascent civil society, as well as journalists and legal professionals.
Zia ul Haq Amarkhil, the governor of Nangarhar, said police were investigating the attacks.
Many in Afghanistan’s conservative society oppose vaccinations, with fighters frequently attacking health workers claiming they are being used by the West as a cover for spying.
The recent increase in violence comes as the US and NATO are completing their military withdrawal from Afghanistan.
The estimated 2,500-3,500 US soldiers and 7,000 NATO-allied troops are to be gone by September 11 at the latest, though there are projections they may be gone by mid-July.