Question

Solutions to the question please. The answer is 3.6km

Answer 1

Let the Distance between A and B be : C km

Given : The Man Travels from A to B at a Speed 4 km/h

⇒ The Man Travels 4 km in One Hour during his Journey from A to B

⇒ $The\;Man\;Travels\;One\;km\;in\;\frac{1}{4}\;Hour\;during\;his\;Journey\;from\;A\;to\;B$

⇒ $The\;Man\;Travels\;C\;km\;in\;\frac{C}{4}\;Hour\;during\;his\;Journey\;from\;A\;to\;B$

Given : The Man Travels from B to A at a Speed 6 km/h

⇒ The Man Travels 6 km in One Hour during his Journey from B to A

⇒ $The\;Man\;Travels\;One\;km\;in\;\frac{1}{6}\;Hour\;during\;his\;Journey\;from\;B\;to\;A$

⇒ $The\;Man\;Travels\;C\;km\;in\;\frac{C}{6}\;Hour\;during\;his\;Journey\;from\;B\;to\;A$

⇒ $The\;Total\;Time\;Taken\;by\;the\;Man = \frac{C}{4} + \frac{C}{6} = \frac{3C + 2C}{12} = \frac{5C}{12}\;Hour$

We know that One Hour contains 60 Minutes

⇒ The Total Time taken by Man =  $\frac{5C}{12}\times60\;Min = 25C\;Min$

Given Total Time Taken by Man is 45 Minutes

⇒ 25C = 45

⇒ $C = \frac{45}{25} = 1.8\;km$

But the Total Distance Traveled by the Man is 2C

⇒ 2C = 2 × 1.8 = 3.6 km

⇒ The Total Distance Traveled by the Man is 3.6 km