A man travelled a distance of 47km in 6 hours. He travelled partly on foot at a speed of 6
2
1
​
km/h and the rest on bicycle at a speed of 8
2
1
​
km/h. The distance travelled (in km) on bicycle is:

Let the time spent travelling on the bicycle be t hours.
Then, the time spent travelling on foot is (6−t) hours.

Given speeds:

Speed on foot=6.5km/h
Speed on bicycle=8.5km/h
Using the relation Distance=Speed×Time:

Distance on foot+Distance on bicycle=Total Distance
6.5×(6−t)+8.5×t=47
39−6.5t+8.5t=47
39+2t=47
2t=47−39
2t=8⟹t=4 hours
The distance travelled on the bicycle is:

Distance=8.5×4=34km