# Math

posted by .

1) Matt traveled the first leg of his trip for 1350 miles on a large jet. He then traveled an additional 600 miles on a private plane to reach his destination. If the speed of the jet was three times the speed of the plane and the total time in the air was 6 hours determine the speed of each aircraft.

2) Matt and Sara mow lawns together. When Matt mows the lawn for Mr. Smith it takes 100 minutes. When matt and Sara work together to mow the lawn for Smith they get the job done in 40 minutes. How long will it take Sara to mow Smith's lawn by herself?

• Math -

speed of private plane --- x mph
speed of jet -----> 3x mph

time for 1st leg of trip = 1350/x
time for 2nd leg of trip = 600/(3x) = 200/x

so 1350/x + 200/x = 6
1550/x=6
6x = 1550
x = 258.333..

private plane went 258.33 mph, jet went 775 mph

• Math -

Matt's rate = lawn/100
Sara's rate = lawn/x , where x is Sara's time if she works alone

combined rate = lawn/100 + lawn/x
= (xlawn + 100lawn)/(100x)
= lawn*(x+100)/(100x)

then lawn*(x+100)/(100x) = lawn/40

(x+100)/(100x) = 1/40
cross-multiply
100x = 40x + 4000
60x = 4000
x = 66.666. or 66 2/3 minutes

## Similar Questions

1. ### math

jenny had driven for 2h at a constant speed when road forced to reduce her speed by 10 mp/h for the remaining 1h of 152 mile trip. find her original speed 152 - 10 = 142/2 = 71 mp/h Can 71 mi/hr be right for the first speed?
2. ### trig

jet stream which is flowing at a rate of 80 miles per hour. It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours. The plane, while out of the jet stream, covered 550 …
3. ### trig

A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour. It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours. The plane, while out of the …
4. ### Math

An airplane flies 500 mi/h in still air. Flying with the jet stream, the plane travels 1200 mi from City A to City B. The plane then returns to City A, flying against the jet stream. The round-trip flight time is 5 h. What is the speed …
5. ### algebra

a two part canoe trip,the first part of the trip the canoist traveled 58 miles.Second part of the trip he traveled 18 miles at 5mph slower.the total time for trip was 4 hours.What was the speed of both parts of the trip?
6. ### Physics

To reach city A, you travel north for 2.00 hours covering 80.0 miles. You then turn due east and travel 45.0 minutes for another 20.0 miles to reach your destination. On the first leg of your trip (traveling north), what is your speed?
7. ### algebra

A private plane leaves an airport and flies due east at 192 miles per hour. Two hours later, a jet leaves the same airport and flies due east at 960 miles per hour. How long will the private plane fly until it is passed by the jet?
8. ### algebra

Family on a road trip. travels x miles on day 1. On day 2 they go 52 miles more than three times the number of miles traveled on day 1. The 3rd day they go 83 miles fewer than day 1. write and simplify an expression for the total number …
9. ### Math

Elenore made an 850 mile trip east. She traveled 2 hours by jet and 30 minutes by a private propeller plane. If the speed of the jet was four times the speed of the propeller plane, what was the speed of the jet?
10. ### Math

A jet plane traveled at a constant speed and flew 5460 miles in 12 hours. How many miles did the plane fly in one hour?

More Similar Questions