A person can complete a journey in 22 hours. He covers the first one-third part of the journey at the rate of 15 km/h and the remaining distance at the rate of 45 km/h. What is the total distance of his journey (in km)?

Correct option is C

Given:

Total time = 22 hours

Speed for first one-third distance = 15 km/h

Speed for remaining two-thirds distance = 45 km/h

Formula Used:

Total time = Time for first part + Time for second part

Time = $$\frac{\text{distance}}{\text{speed}}$$

Solution:​

If total distance =D, then
First part distance = $$\frac{D}{3}$$​​
Second part distance = $$\frac{2D}{3}$$​​

Now,

​$$22 = \frac{\frac{D}{3}}{15} + \frac{\frac{2D}{3}}{45}$$​​

​$$22 = \frac{D}{3 \times 15} + \frac{2D}{3 \times 45}$$​​

​$$22 = \frac{D}{45} + \frac{2D}{135}$$​​

​$$22 = \frac{3D}{135} + \frac{2D}{135}$$​​

​$$22 = \frac{5D}{135}$$​​

D = $$\frac{22 \times 135}{5}$$​ = 594 km