Question

Every day, Susan exercises in the morning. She travels a total of 4 miles. She starts off with a half-hour walk at a pace of 2 miles per hour. She then finishes while jogging at a pace of 6 miles per hour. Write an equation that represents this situation, and use it to find the number of hours Susan jogs at the increased speed.

Answer 1

Let's assume

the number of hours Susan jogs at the increased speed is 't' hours

Since, increased speed is 6 miles per hour

after 't' hours , she travles with increased speed is 6*t miles

She starts off with a half-hour walk at a pace of 2 miles per hour

so, she travels distance

=0.5*2 miles

=1 miles

She travels a total of 4 miles

total distance is

=6t+1

now, we can set them equal

$6t+1=4$

now, we can solve for t

Subtract both sides by 1

$6t+1-1=4-1$

$6t=3$

Divide both sides by 6

we get

$t=0.5$

so, the number of hours Susan jogs at the increased speed is 0.5 hrs.........Answer