Answer to Question #275417 in Physics for jojo

Question

A man cycles to his destination with the wind at 8 ms-1

and returns home against

the wind at 4 ms-1

. What is his average speed? (Hint: Let the distance between home

and work

Answer 1

When the object traveled two equal distances with different speed its average speed is given by

$$v_{\rm ave}=\frac{2v_1v_2}{v_1+v_2}$$

$$v_{\rm ave}=\rm\frac{2*8\: m/s*4\: m/s}{8\: m/s+4\: m/s}=5.3\: m/s$$