# X travelling a part of the distance in car at a speed of 30 km/h and rest of the distance by bike at a speed of 20 km/h. He covers the total of 260 km

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X travelling a part of the distance in car at a speed of 30 km/h and rest of the distance by bike at a speed of 20 km/h. He covers the total of 260 km of distance in 10 hours. Find the distance covered by car.

A. 80 km

B. 150 km

C. 80 km less than 260 km

D. 120 km
1. B
2. C
3. A
4. D

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Correct Answer - Option 2 : C

Given:

Total distance = 260 km

Time taken to cover the distance = 10 hours

Speed of car = 30 km/h

Speed of bike = 20 km/h

Calculation:

Let time taken by car be x

30 × x + 20 × (10 – x) = 260

⇒ 30x + 200 – 20x = 260

⇒ 10x = 60

⇒ x = 6

Time taken by car to cover a part of the distance = 6 hours

Time taken by bike to cover rest of the distance = 10 – 6 = 4 hours

Distance covered by car = 6 × 30 = 180 km

C. 80 km less than 260 km

Distance = 260 – 80 = 180

C is correct.