Question

Two cars start from Ahmadabad and run in opposite directions with one car’s speed being 200 km/h more than the other. If they are 4500 km apart after 9 h, then the sum of the speeds of both the cars is:
1. 150 km/h
2. 500 km/h
3. 250 km/h
4. 350 km/h

Answer 1

Correct Answer - Option 2 : 500 km/h

Given:

Two cars start from Ahmadabad and run in opposite directions with one car’s speed being 200 km/h more than the other.

They are 4500 km apart after 9 h.

Concept used:

Distance = Speed × Time

Calculations:

Let the speed of one car be ‘x’ km/h & other be '200 + x' km/h

Distance = Distance by 1^st car + Distance by 2^nd car

4500 = (x) × 9 + (200 + x) × 9  (time = 9 hours)

⇒ 500 = x + 200 + x

⇒ 2x = 300

⇒ x = 150 & (200  + x) = 350

Sum of speeds = 350 + 150

⇒ 500

∴ The correct choice is option 2.