Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was planned. How long did it take for Jonathan walk to his destination?O

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = units/hr

Let the original time taken by Jonathan = hours

Let the distance = units

Formula for distance is given as:

Given that half the distance is covered by original speed.

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

Hence, Time taken:

Distance traveled is half of the total distance:

Dividing (1) by (2):

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.