The required distance is 16.40 km.
This problem can be solved if we know the concept of speed, time and distance.
We know the speed=
To solve the problem let us assume that the total distance between the workplace and home is x km.
Given that his speed while going from home to work is 45 mph and while returning is 35 mph.
Time for the complete journey is .
Now according to question;
⇒
⇒
⇒
∴
So, the required distance is 16.40 km.
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