Ramu goes to his college from his house at a speed of 2 km/h and returns at a speed of 3 km/h. If he takes 5 h in going and coming, the distance between his house and college is:

Correct option is B

Given:
Speed while going (S1) = 2 km/h
Speed while returning (S2) = 3 km/h
Total time (T) = 5 hours
Formula Used:
​$$\text {Total time }(T) = \frac{D}{S_1} + \frac{D}{S_2}$$​​
Solution:
​$$5 = \frac{D}{2} + \frac{D}{3}\\5 = \frac{3D}{6} + \frac{2D}{6}\\5 = \frac{5D}{6}\\30 = 5D\\D = 6 km\\$$

Thus, the distance between Ramu's house and college is 6 km