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SSC GD 2023 PYQ — Question 55

SSC GD Constable (English) - 25 Jan 2023 - Shift 2 • Quantitative Aptitude • Q55

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An aeroplane covers a certain distance at a speed 510 km/h in 3 h. To cover the same distance in 1015\frac{1}{5}h, it must fly at a speed of:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 150 km/h

As we know,

Distance = Speed × Time

At constant distance, 

Speed × Time = constant

Given that

Speed S1 = 510 km/h , Time T1 = 3h

Speed S2 = ? , Time T2 =  1015\frac{1}{5}h = 51/5 h

Calculation

⇒ S1 ×  T1 = S2 × T2

⇒ 510 × 3 = S2 × 51/5

⇒ S2 × 51 = 510 × 15 = 7650

⇒ S2 = 7650/51 

⇒ S2 = 150 km/h