# Two ships

The distance from A to B is 300km. At 7 am started from A to B a ferry with speed higher by 20 km/h than a ship that leaves at 8 o'clock from B to A. Both met at 10h 24min. Determine how far they will meet from A and when they reach the destination.

Result

s1 =  204 km
t1 = 12:00 hh:mm
t2 = 15:30 hh:mm

#### Solution:

$s=300 \ \text{km} \ \\ s_{1} + s_{2}=s \ \\ s_{1}=(v+20)t \ \\ s_{2}=v(t-1) \ \\ \ \\ t=(10+24/60) - 7.00=\dfrac{ 17 }{ 5 }=3.4 \ \text{h} \ \\ \ \\ (v+20)t + v(t-1)=300 \ \\ \ \\ 3.4 \cdot \ (v+20) + v \cdot \ 2.4=300 \ \\ 5.8v=232 \ \\ \dfrac{ 29 }{ 5 }v=232 \ \\ 29v=1160 \ \\ v=1160 / 29=40 \ \\ \ \\ \ \\ s_{1}=(v+20) \cdot \ t=(40+20) \cdot \ 3.4=204 \ \text{km}$
$t_{1}=7.00 + s / (v+20)=7.00 + 300 / (40+20)=12:00 \ \text{hh}:\text{mm}$
$t_{2}=8.00 + s / v=8.00 + 300 / 40=\dfrac{ 31 }{ 2 }=15.5=15:30 \ \text{hh}:\text{mm}$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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

Be the first to comment!

Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Do you want to convert length units?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

## Next similar math problems:

1. Slow saving in banks
How long will it take to save € 9,000 by depositing € 200 at the beginning of each year at 2% interest?
2. What is
What is the annual percentage increase in the city when the population has tripled in 20 years?
3. Age of family
The age of father and son is in the ratio 10: 3. The age of the father and daughter is in ratio 5: 2. How old are a father and a son if the daughter is 20?
4. The farmer
The farmer calculated that the supply of fodder for his 20 cows was enough for 60 days. He decided to sell 2 cows and a third of the feed. How long will the feed for the rest of the peasant's herd last?
5. The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after 3 half-lives?
6. Cyclist 12
What is the average speed of a cycle traveling at 20 km in 60 minutes in km/h?
7. Two trains
The train runs at speed v1 = 72 km/h. The passenger, sitting in the train, observed that a train long l = 75m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train.
How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%?
9. A particle
A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t2-4t-4, t>0. Initially the particle is 8 meters to the right of a fixed origin. After how many seconds is the particle at the origin?
10. Energy consumption
The device is connected to 230V and draws 3.5A current. Power consumption is 1932kJ. How many minutes has this device been in operation?
11. The coal
The coal stock would be enough to heat a larger room for 12 weeks, a smaller one for 18 weeks. It was heated for four weeks in both rooms, then only in a smaller one. How long was the coal stock enough?
12. Digging
The first worker would dig a trench in 6 hours. For the second, the same work would take 4 hours. How long did it take for the trench to be dug if they worked together?
13. Seven
Seven dwarfs will cut 420 stumps in 15 hours. After five hours, the two dwarves disappear discreetly. How many hours will the remaining dwarves complete the task?
14. Large family
The average age of all family members (children, mother, father, grandmother, grandfather) is 29 years. The average age of parents is 40 years, grandparents 66 years and all children are 5 years. How many children are there in this family?
15. The swallow
The swallow will fly 2.8 km per minute. How many km will the swallow fly in one hour?
16. Cooker
A current of 2A passes through the immersion cooker at a voltage of 230V. What work do the electric field forces in 2 minutes?
17. Bricklayers
The first bricklayer would build a wall in 3 days, the second in 4 days. The first bricklayer worked alone for a day, then the second bricklayer came to his aid and they finished the work together. How long did it take to build the wall?