"walk some distance" is correct and usable in written English.
You can use the phrase whenever you want to indicate that someone is traveling a certain distance on foot. For example, "She decided to take a break from her car ride and walk some distance."
And those who make it will face various challenges: they will most likely have to walk some distance, the weather could be harsh, the crowds will be huge and accommodations are scarce.
When the talks shifted to a luxury hotel in Vienna, the microwave radiation from the surveillance efforts of competing intelligence agencies was so intense that diplomats had to walk some distance from the venue to use their mobile phones.
On a few occasions during the recent Iranian nuclear talks in Vienna, the microwave radiation from the surveillance efforts of competing intelligence agencies was so intense that diplomats had to walk some distance from the venue to use their mobile phones.
"Scattered settlements in the high villages mean many students have to walk some distance to get to school, which turns many parents off sending their children to school, especially their daughters.
"Scattered settlements in the high villages mean many students have to walk some distance to get to school, which turns many parents off sending their children to school – especially their daughters," explains UNICEF District Education Officer Krishna Bahadur KC. "It's also hard to attract female teachers to remote areas because of the travel involved.
Or, are you willing to walk some distance to save money?
The pavements of Mumbai host about 15 million walking trips each day, with about 55 percent of Mumbai residents walking some distance to work.
A woman walked some distance behind.
Unless we walked some distance to Arthur Avenue, where she did not require my help because you could -- and probably still can -- spend your life there speaking only Italian.
The fact that, officially, Tintin did not exist, that he lived in two rather than three dimensions, and that he had been dreamed up by a man named Remi, who walked some distance behind "Tintin" at the station, put no damper on the day.
Because Mr Tomlinson had walked some distance from the incident in Royal Exchange before collapsing in Threadneedle Street, the two events were not immediately linked and, when he carried out his post mortem, Dr Patel was not aware of the incident involving PC 'A'.
