Question

Rajapur has a population of 88000, which is decreasing at the rate of 1200 per Year. Rampur has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of the two villages, is equal?

• A. 23
• B. 13
• C. 22
• D. 12
• E.

Hint:

Check calculations for consistency with initial conditions and the rates of change given in problems involving linear changes over time.

Answer 1

The Correct Option is A

Setting up the equation.
Starting with the given equation: \[ 88000 - 1200t = 42000 + 800t \] Combining like terms: \[ 88000 - 42000 = 1200t + 800t \] \[ 46000 = 2000t \] Dividing both sides by 2000: \[ t = \frac{46000}{2000} = 23 \] Thus, the correct answer is \( t = 23 \) years. .