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

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.

Answer by MathTherapy(10552) (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 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:

RELATED QUESTIONS
jada elana and lin walked a total of 37 miles last week. jada walked four more miled then (answered by josgarithmetic)
Jada rollerblades from Regina to Saskatoon to raise funds for cancer research. The trip... (answered by jorel555)
A small commuter airline flies to three cities whose locations form the vertices of a... (answered by mananth)
Jada wants to invest in a mutual fund for her retirement. If she expects to make 17%... (answered by ikleyn)
A smaller commuter airline flies to three cities whose locations form a vertices of a... (answered by zoomkaboom4,Alan3354)
A small commuter airline flies to three cities whose locations form the vertices of a... (answered by stanbon,dabanfield)
A small commuter airline flies to 3 cities whose locations form the vertices of a right... (answered by mananth)
Sam drives from City A to City B, and Richard drives from City B to City A on the same... (answered by ikleyn)
1.Mark and Amy live 560 miles apart. They are planning to meet somewhere between the two... (answered by josgarithmetic)