SSC Selection Post 2022 PYQ — Question 56

SSC Selection Post - Higher Secondary Level 2022 - 11 Feb 2022 - Shift 1 • Quantitative Aptitude • Q56

When the speed of a truck is increased by 20%, it takes 25 minutes less to cover the same distance. What is the time (in hours) taken to cover twice the distance at its actual speed?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 5.

Let original time = T

New time = T - 256025\over60 = (T - 5125\over12)

Speed increased by 20%

⇒ S × T = 1.2S × (T − 5/12)

⇒ T = 1.2(T - 5125\over12)

⇒ T = 1.2T - 121\over2

⇒ 0.2T = 0.5

⇒ T = 2.5 hours

Twice the distance = 2 × 2.5 = 5 hours