SSC CPO 2022 PYQ — Question 109

SSC CPO - 11 Nov 2022 - Shift 1 • Quantitative Aptitude • Q109

The speeds of A and B are in the ratio 3: 5. A takes 30 minutes more than B to reach the destination. In how much time does A reach the destination?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 1 hour 15 minutes

Given that 

The ratio of the speed of A and B = 3: 5

The time ratio of A and B is reversed by the ratio of speed for constant distance = 5: 3

According to the question 

5x - 3x = 30 minutes 

2x = 30

x = 15 minutes

Hence, The time in which A reaches the destination = 5x = 5 × 15 = 75 minutes = 1 hour 15 minutes