GATE 2020 BM – Question 8

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

Delhi and Agra are 233 km apart. Car P leaves Delhi and car Q leaves Agra toward Delhi one hour later. They meet 75 minutes after Q starts. P travels 10 km/h faster than Q, both at constant speed. How many kilometres has Q travelled, nearest listed value?

66.6
75.2
88.2
116.5

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Show answer and explanation

Correct answer: (B) 75.2

Explanation

Let Q speed be v km/h. Travel times to meeting are 1.25 h for Q and 2.25 h for P. Thus 1.25v+2.25(v+10)=233, giving 3.5v=210.5 and v≈60.1429. Q’s distance is 1.25v≈75.1786 km, closest to 75.2, B.

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