Terrence walks at a pace of 2 mi/h to the theater and watches a movie for 2 hours and 15 min he rides a bus back home at 40 mi/h
1 answer:
Solution:
Let x be the distance in miles from the house to the theater.
Total time taken for the trip
Then average speed
Terrence walks at a speed of 2 miles per hour to the theater and returns home at 40 miles per hour.
Thus, Average Speed mi/hr
Both average speeds must be equivalent. Hence, we can express this as:
Consequently, the distance from home is 13.125 miles.
You might be interested in
For the function
and
both yield the same result.
Detailed breakdown:
The functions involved are
Step 1:
Insert in
to find the value of
.
Insert in
to find the value of
.
Step 2:
Insert in
to obtain the value of
.
Step 3:
Replace in
to find the value of
.
Step 4:
Insert in
to find the value of
.
Also, replace in
to obtain the value of
.
Step 5:
Insert in
to obtain the value of
.
Replace in
to find the value of
.
Step 6:
Insert into
to find the value of
.
Also, substitute in
to obtain the value of
.
Step 7:
According to the provided condition .
(a). Insert and
into the previously mentioned equation.
(b). Multiply through by on both sides.
(c). Move the term to the left side of the equation.
(d). Divide the middle term so that its sum equals 5 and the product equals 6.
From the analysis above, it is noted that for both functions
and
yield the same outcome.
Using a direct approach:
The table representing function and
is included below.
For more information:
1. What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? (0,–6) (0,12) (–8,0) (2,0)