SarkariPYQ

SSC Selection Post 2024 PYQ — Question 61

SSC Selection Post - Matriculation Level - 21 June 2024 - Shift 1 • Quantitative Aptitude • Q61

Back to paper

In a 3000 m race, if vehicle A gives vehicle B a start of 400 m, then vehicle A wins the race by 10 s. If vehicle A gives vehicle B a start of 750 m, then the race ends in a dead heat. How long does vehicle A take to run 3000 m?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 64.3 seconds.

Let the Speed of A be x and the Speed of B be y

From situation II:

B starts 750 m ahead, so B runs 2250 m when A runs 3000 m

⇒ 2250y2250\over y = t

⇒ y = 2250t2250\over t

From situation I:

⇒ 2600y2600\over y = t + 10

⇒ 26002250t2600\over {2250\over t} = t + 10

⇒ 2600t22502600t\over2250 = t + 10

⇒ 2600t = 2250t + 22500

⇒ 350t = 22500

⇒ t = 64.3 seconds