Babli travelled for 14 hours. If she covered one – fourth of the journey at a speed of 25 km/h and the remaining at 30 km/h, what is the total distance travelled by her?

Correct option is B

Given:

Total time travelled by Babli = 14hours

One-fourth of journey travelled at 25km/hr

Remaining journey travelled at 30km/hr

Formula Used:

Time = $$\frac{Distance}{Speed}$$​​

Solution:

Let the total distance be x

Then one-fourth of distance =$$\frac{x}{4}$$​​

Time taken to cover $$\frac{x}{4} \text{ at 25km per hr }= \frac{\frac{x}{4}}{25} = \frac{x}{100}$$​​

Remaining distance = $$x-\frac{x}{4} =\frac{3x}{4}$$​​

Time taken to cover the distance at 30km/hr =$$\frac{\frac{3x}{4}}{30} = \frac{x}{40}$$​​

Total time = 14hours

​$$\frac{x}{100} + \frac{x}{40} = 14$$​​

​$$\frac{2x+5x}{200} = 14$$​​

​$$7x= 14 \times 200$$​​

x = 400km