GATE 2020 ST – Question 8

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

Delhi and Agra are233 km apart. Car P leaves Delhi; Q leaves Agra toward Delhi one hour later. They meet75 min after Q starts. P travels10 km/h faster than Q. How far has Q travelled in km?

66.6
75.2
88.2
116.5

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Show answer and explanation

Correct answer: (B) 75.2

Explanation

Let Q’s speed be v. Its travel time is1.25 h; P’s is2.25 h. Meeting gives1.25v+2.25(v+10)=233, so3.5v=210.5 and v=60.1429 km/h. Q travels1.25v=75.1786≈75.2 km, B.

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