Desiree drove north for 30 minutes at 50 miles per hour. Then, she drove south for 60 minutes at 20 miles per hour. How far and in what direction is Desiree from where she started?

Ratios, rates, proportions
asked 2020-10-23
Desiree drove north for 30 minutes at 50 miles per hour. Then, she drove south for 60 minutes at 20 miles per hour. How far and in what direction is Desiree from where she started?

Answers (1)

# movement to north
- 1 hour = 60 min
- 50 miles ----------- 60 minutes ( = 1 hour )
Y miles ----------- 30 minutes
cross multiplying ( scissor )
60 Y = 50 x 30 = 1500 ( divide both sides over 60 )
\(\displaystyle{Y}=\frac{{1500}}{{60}}={25}\) miles so, the distance she travels to north is 25 miles.
2 # movement to south ( opposite direction )
20 miles ------------- 60 minutes
Y miles ------------- 60 minutes
cross multiplying 60 Y = 20 x 60 = 1200 ( divide both sides over 60 )
Y = 1200 / 60 = 20 miles
but this distance is on the opposite direction to north ( south ) so it takes a ( - ) sign the distance she travels to south = - 20 miles
3the distance from where she started driving = the distance she travels to north + the distance she travels to south = 25 + ( - 20 ) = 5 miles 5 mile is ( + ) so the direction is to north

Relevant Questions

asked 2020-11-27
Chloe got a 10% raise. She now earns $22 an hour. How much did she earn per hour before the raise?
A bicycle regularly priced at $396 is on sale for 25% off. What is the sale price?
asked 2020-11-23
If Erin earns $48,300.00 per year, estimate how much she earns per hour. Assume that she works 40 hours per week and 50 weeks per year.
asked 2021-02-05
The Manitou Incline, which leads to the top of Pike's Peak in Colorado, climbs from an elevation of 6574 feet to 8585 feet above sea level. The fastest reported time for running up the incline is 16 minutes and 42 seconds, by Mike Fretta. How many vertical feet per second did Mark climb during his record-breaking performance? (Round to 1 decimal digit.)
asked 2020-11-12
the world record for 100m sprint was set by Usain Bolt in 2009 when he ran it in 9.58 seconds. How fast would this be in miles per hour?
asked 2020-12-28
Doug entered a canoe race. He rowed 3 \(\displaystyle\frac{{1}}{{2}}\) miles in \(\displaystyle\frac{{1}}{{2}}\) hour. What is his average speed in miles per hour?
asked 2021-02-12
Zalmon walks \(\displaystyle\frac{{3}}{{4}}\) of a mile in \(\displaystyle\frac{{3}}{{10}}\) of an hour. What is his speed on miles per hour?
a. 0.225 miles per hour
b. 2.3 miles per hour
c. 2.5 miles per hour
d. 2.6 miles per hour
asked 2020-11-12
Finance bonds/dividends/loans exercises, need help or formulas
Some of the exercises, calculating the Ri is clear, but then i got stuck:
A security pays a yearly dividend of 7€ during 5 years, and on the 5th year we could sell it at a price of 75€, market rate is 19%, risk free rate 2%, beta 1,8. What would be its price today? 2.1 And if its dividend growths 1,7% each year along these 5 years-what would be its price?
A security pays a constant dividend of 0,90€ during 5 years and thereafter will be sold at 10 €, market rate 18%, risk free rate 2,5%, beta 1,55, what would be its price today?
At what price have i purchased a security if i already made a 5€ profit, and this security pays dividends as follows: first year 1,50 €, second year 2,25€, third year 3,10€ and on the 3d year i will sell it for 18€. Market rate is 8%, risk free rate 0,90%, beta=2,3.
What is the original maturity (in months) for a ZCB, face value 2500€, required rate of return 16% EAR if we paid 700€ and we bought it 6 month after the issuance, and actually we made an instant profit of 58,97€
You'll need 10 Vespas for your Parcel Delivery Business. Each Vespa has a price of 2850€ fully equipped. Your bank is going to fund this operation with a 5 year loan, 12% nominal rate at the beginning, and after increasing 1% every year. You'll have 5 years to fully amortize this loan. You want tot make monthly installments. At what price should you sell it after 3 1/2 years to lose only 10% of the remaining debt.
asked 2021-02-19
If Julia is traveling along a highway at a constant speed of 50 miles per hour, how far does she travel in two hours and 30 minutes?
asked 2020-11-23
Penelope Schoenburgs overtime is figured on a 40 hour week. last week she worked 45.6 hours this week she worked 9.7 hours on monday 8.3 hours on tuesday 8 hours on wednesday 9.1 hours on thursday and 8.6 hours on friday how many overtime hours did she work in two weeks
asked 2021-02-22
Los Angeles Dodgers pitcher Clayton Kershaw has a seven-year contract that gives him an average annual salary of $30.7 million. Assuming he starts 30 games in a season (and his salary is solely for pitching), how much is he paid per game?