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A Car Completes a Certain Journey in 8 H. It Covers Half the Distance at 40 Km/H and the Rest at 60 Km/H. the Length of the Journey is - Mathematics

MCQ

A car completes a certain journey in 8 h. It covers half the distance at 40 km/h and the rest at 60 km/h. The length of the journey is

Options

  • 350 km 

  • 420 km

  • 384 km

  • 400 km

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Solution

384 km
Explanation:
Let the length of the journey = x

Then, `(x/2)/40+(x/2)/60=8`

⇒ `x/80+x/120=8`

⇒ 120x + 80x = 8 x 80 x 120

⇒ `x=(8xx80xx120)/200`

⇒ x = 384 km

Concept: Time, Distance and Speed(Entrance Exam)
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