Two planes

Two planes flying from airports A and B, 420 km distant against each other. Plane from A took off 15 minutes later and flies at an average speed of 40 km/h higher than the plane from B. Determine the average speed of this two aircraft if you know that it will meet 30 minutes after takeoff A.

Correct result:

a =  360 km/h
b =  320 km/h

Solution:

a=b+40
a•30/60 + b• (45/60)=420

a-b = 40
30a+45b = 25200

a = 360
b = 320

Calculated by our linear equations calculator.

Try another example

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:

Be the first to comment!

Next similar math problems:

• Walkers
  From points A and B simultaneously started against each other two walkers. After meeting both continue to B. Second walker came to B 2 hours before the first walker. It's speed is 2.7 times of speed of the first pedestrian. How many hours went pedestri
• Distance between two cities
  Car went from A to B 4h. On the way back, the car was up 15km / h faster. The return trip took 48 minutes. Shorter than the way there. Find the distance of the cities A and B.
• Cyclist vs car
  Cyclist rode out of the city at 18 km/h. 1 hour 30 minutes behind him started car and caught up with the cyclist in 50 minutes. How fast was driving the car? Where (what kilometer) from the city car overtook a cyclist?
• Ball game
  Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player.
• Carla
  Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter’s age was twice the sum of Carla’s and Jim’s age. Find the present age of each one of them.
• Warehouses
  In the three warehouses, a total of 70 tons of grain was stored. In the second warehouse was stored 8.5t less and in the third 3.5t more than in the first. How many tons of grain was stored in each warehouse?
• Two trains
  There are two trains running the same distance. 1st train will travel it in 7 hours 21minutes. 2nd the train will travel 5 hours 57minutes and 34 seconds and it is 14 km/h faster than the first train. What are speeds of trains and how long is this railwa
• Linsys2
  Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
• Age problems
  A) Alex is 3 times as old as he was 2 years ago. How old is he now? b) Casey was twice as old as his sister 3 years ago. Now he is 5 years older than his sister. How old is Casey? c) Jessica is 4 years younger than Jennifer now. In 10 years, Jessica w
• Father 7
  Father is 6 times older than his son. After 4 years, the father will only be 4 times older. What are their present ages?
• Pooja
  Pooja and Deepa age is 4:5, 4 years back it was 8:11. What is the age of Pooja now?
• Children
  The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?
• Wavelength
  Calculate the wavelength of the tone frequency 11 kHz if the sound travels at speeds of 343 m/s.
• Null points
  Calculate the roots of the equation: ?
• Father and son
  When I was 11, my father was 35 years old. Today, my father has three times more years than me. How old is she?
• Men, women and children
  On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?
• Family
  Family has 4 children. Ondra is 3 years older than Matthew and Karlos 5 years older than the youngest Jane. We know that they are together 30 years and 3 years ago they were together 19 years. Determine how old the children are.