Two hikers are 14 miles apart and walking toward each other. They meet in 2 hours. Find the rate of each hiker if one hiker walks 2.8 mph faster than the other.

The rate of one is 2.1 mph and the rate of the other is 4.9 mph

Explanation:

Let the rate of one be y mph

The rate of the other = (y+2.8) mph

Total rate = y + y + 2.8 = (2y+2.8) mph

Total rate = distance apart/time

2y + 2.8 = 14/2

2y + 2.8 = 7

2y = 7 - 2.8

2y = 4.2

y = 4.2/2 = 2.1 mph

The rate of the other is y+2.8 = 2.1+2.8 = 4.9 mph

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.