SSC CGL 2023 PYQ — Question 15

SSC CGL Tier II - 26 October 2023 • Quantitative Aptitude • Q15

Vipin travels one-third of the distance of a journey at a speed of 30 km/h and the remaining distance at a speed of 40 km/h. If he took a total of 12 hours to complete the journey, what was the total distance (in km) of the journey?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 432.

Given that

One-third of the distance is traveled at 30 kmph and two-thirds is travelled at 40 kmph

Let the total distance be D

Distance D is traveled in 12 hours 

Let it cover one-third of the distance in T hours and rest in 12 -T hours

Formula used 

Speed = distancetime\frac{distance}{time}

According to the question 

30 = D/3T\frac{D/3}{T}

And, 40 = 2D/312−T\frac{2D/3}{12 - T}

Solving for D we get 

D = 432 km

Hence, the total distance (in km) of the journey is 432 km.