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A car travels a certain distance and returns towards the starting point. While returning if he stops at a distance which is one-ninth of the total distance away from the starting point. The speed of the car is 10 km/hr. If it travelled the initial 100 km at a speed double than the usual speed and took 80 hours to complete whole journey, find the total distance (in km) travelled. 

A car travels a certain distance and returns towards the starting point. While returning if he stops at a distance which is one-ninth of the total distance away from the starting point. The speed of the car is 10 km/hr. If it travelled the initial 100 km at a speed double than the usual speed and took 80 hours to complete whole journey, find the total distance (in km) travelled.  Correct Answer 850

Given:

A car travels a certain distance and returns towards the starting point. It stops at a distance which is one-ninth of the total distance away from the starting point. The speed of the car is 10 km/hr.

Formula used:

Distance = time × speed

Calculation:

Let the total distance be 9x.

⇒ Total distance car travelled = 9x + 8x = 17x

Also, usual speed of the car = 10 km/hr

⇒ total Time = 100/20 + = 80

⇒ 5 + 1.7x – 10 = 80

⇒ 1.7x = 85

⇒ x = 50

Total distance travelled by car = 17x = 17(50) = 850 km

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