SOLUTION: Jada is calling from a city 65 miles away and wants to meet Destiny somewhere between the two locations. Jada says she will start driving right away, but Destiny needs 10mins to fi
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: Jada is calling from a city 65 miles away and wants to meet Destiny somewhere between the two locations. Jada says she will start driving right away, but Destiny needs 10mins to fi
Log On
Question 1208292: Jada is calling from a city 65 miles away and wants to meet Destiny somewhere between the two locations. Jada says she will start driving right away, but Destiny needs 10mins to finish her lunch before she can begin driving. Jada plans to drive at 65 mph, whereas Destiny usually averages about 75 mph. ignore acceleration and assume the highway is a straight line. How many minutes tmeet will Jada be driving before she meets Destiny?
how many miles d will Destiny have traveled when they meet Found 2 solutions by ikleyn, MathTherapy:Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website! .
Jada is calling from a city 65 miles away and wants to meet Destiny somewhere between
the two locations. Jada says she will start driving right away, but Destiny needs 10 mins
to finish her lunch before she can begin driving. Jada plans to drive at 65 mph,
whereas Destiny usually averages about 75 mph. ignore acceleration and assume the highway
is a straight line.
(a) How many minutes t will Jada be driving before she meets Destiny?
(b) how many miles d will Destiny have traveled when they meet.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Jada is driving t minutes at the rate miles per minute.
Destiny is driving (t-10) minutes at the rate miles per minute, from the problem.
The distance Jada will cover is miles.
The distance Destiny will cover is miles.
The two partial distances comprise the total distance of 65 miles.
So, the total distance equation is
+ = 65 miles.
Multiply both sides by 60
65t + 75(t-10) = 65*60.
Simplify and find t, in minutes
65t + 75t - 750 = 4550
140t = 3900 + 750
140t = 4650
t = 46500/140 = 33.21428571 minutes.
The driving time for Jada is 33.21428571 minutes. It is the ANSWER to question (a).
Destiny will travel 33.21428571-10 = 23.21428571 minutes.
Destiny will travel = 29.01785714 miles. It is the ANSWER to question (b).
CHECK. The total traveled distance is = 65 miles, total distance. ! correct !
Solved.
---------------------
The numbers are slightly idiotic - but it is because the input numbers are given this way.
The rest is correct. You can make rounding everywhere, where you want.
Jada is calling from a city 65 miles away and wants to meet Destiny somewhere between the two locations. Jada says she will start driving right away, but Destiny needs 10mins to finish her lunch before she can begin driving. Jada plans to drive at 65 mph, whereas Destiny usually averages about 75 mph. ignore acceleration and assume the highway is a straight line. How many minutes tmeet will Jada be driving before she meets Destiny?
how many miles d will Destiny have traveled when they meet
Let time, in hours, Jada takes to get to meeting point be T
Then time, in hours, Destiny takes to get to meeting point is:
Distance Jada travels to get to meeting point: 65T
Distance Destiny travels to get to meeting point:
Since both will cover the 65 miles when they meet, we get:
280T - 25 = 130 --- Multiplying by LCD, 2
280T = 155
Time Jada travels to get to meeting point, or
Distance Destiny travels to get to meeting point:
