A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs.What is the distance travelled?

general knowledge math & puzzles

  1. 110

  2. 240

  3. 210

  4. 100

Show answer
Correct Option: C

AI Explanation

To solve this question, we can use the formula:

Distance = Speed x Time

Let's assume the initial speed of the car during the forward journey is "x" km/hr.

According to the given information, the car takes 7 hours to travel a certain distance during the forward journey, so we can write the equation as:

Distance = x km/hr * 7 hrs

Now, during the return journey, the speed of the car is increased by 12 km/hr, so the speed becomes "x + 12" km/hr. The car takes 5 hours to travel the same distance during the return journey, so we can write the equation as:

Distance = (x + 12) km/hr * 5 hrs

Since the distance travelled is the same in both cases, we can equate the two equations:

x km/hr * 7 hrs = (x + 12) km/hr * 5 hrs

Simplifying this equation, we get:

7x = 5(x + 12)

Now, solve for x:

7x = 5x + 60 2x = 60 x = 30

So, the initial speed of the car during the forward journey is 30 km/hr.

Now, we can calculate the distance travelled using the forward journey equation:

Distance = x km/hr * 7 hrs Distance = 30 km/hr * 7 hrs Distance = 210 km

Therefore, the correct answer is option C) 210 km.

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