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A man travelled a distance of 1200 km in 16 hours. He travelled partly by car at a speed of 40 km/h, and partly by train at a speed of 80 km/h. What is the distance travelled by car?

A man travelled a distance of 1200 km in 16 hours. He travelled partly by car at a speed of 40 km/h, and partly by train at a speed of 80 km/h. What is the distance travelled by car? Correct Answer 80 km

Given :

A man travelled a distance of 1200 km in 16 hours. He travelled partly by car at a speed of 40 km/h, and partly by train at a speed of 80 km/h.

Concept used :

Time = Distance/speed 

Calculations :

Let the distance travelled with 80 km/h speed be 'x' km 

Let the distance travelled with 40 km/h speed be '1200 - x' km 

Time for x km = x/80 

Time for 1200 - x km = (1200 - x)/40 

Total time = (x/80) + (1200 - x)/40 

⇒ (x/80) + (1200 - x)/40 = 16 

⇒ x = 1120 km 

Distance travelled by car = 1200 - x 

⇒ 1200 - 1120 

⇒ 80 km. 

∴ Option 2 will be the right answer. 

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