Algebra - Word Problems - Rate and Distance Part 3/3

Word problems are challenging, but rewarding once you learn how they're done! Let's take a look at another word problem. In this problem we'll find the speed of a driver by comparing their driving time, distance, and speed of another driver, but this time the drivers are heading towards each other!

Problem Text: A police car and a sports car are 15 miles apart and traveling towards one another. The sports car is traveling 10 miles per hour faster than the police car. They meet in 6 minutes. How fast are they traveling?

[MichelvanBiezen]

Thank you for the compliment. I am glad it is helping.

[brianamak]

Awesome! Thank you so much. You've really given me hope for this test, I feel extremely confident now!

[eyemanpb]

Thank you so much, you are the best!!! God bless you for giving us free education

[TURBOtanker]

Thank you, you deserve more subs and viewers

[abraralsalty]

The charge rate for a bus journey on a certain road is sh 1.50 per km. Draw a graph to show bus fares based on this charge rate for distances of up to 400 km.

(a) How much will a traveller pay for a journey of 120 km?

[nxsmusique]

Please help me solve this: What about: 2 men are 28 miles apart. if they travel toward each other, the first at the rate of three, and the second at the rate of 4 miles an hour, in how many hours will they meet?

[bunny]

In the left hand side of board ...in the equation of summation of distances ...X represents distance ..(while solving for x ) while on the right hand side of board ...X represents rate ??? How can it be ??

[micaellamarie]

Hi sir can you help me on this one?

Harvey and Ron are travelling from Mabalacat to MNSHS using their car. Their average speed differes by 10kph. Ron took 3 hours longer to travel a 240 km route than harvey who travelled a 200 km route. Find the speed of Ron.

[squirrelflightpuff]

Thank you so much this was really helpful. God bless you!

[tsoojbaterdene]

A police car and a sport car are 60 km apart and traveling towards one another.The sports car travels 20 km, and stops for 30 min.Then the sports car continues traveling for 4 minutes, meets the police car.They travels the rest of the distance in the same amount of time.How fast are they traveling, Sir?

[tsoojbaterdene]

A car travels 250 km within t minutes.A train travels 250 km within t-200 minutes.The train and the car´s velocities are V+2km/h, V respectively.How to find V, Sir?

[eyemanpb]

Hi sir, do you mind helping me on this one? I went over a lot of you tube channels but can't find how to do the equation.
2 people are running laps around the lake. They both start at the same time and go in the same directions. First person completes a lap every 4 minutes and the other person completes a lap every 6 minutes. How many minutes will it be before they are both at the starting line at the same time?
If they both run for 60 minutes, how many times will they meet up at the starting line during their run?
In 60 minutes, how many laps would either of them would have run?
I couldn’t find the right algebraic equation . I did 4, 8, 12 then 6, 12 so they will meet up in 12 minutes? i don’t know how to make equation out of this? pls help. Thanks

[tsoojbaterdene]

A police car and a sports car are X km apart and travelling towards one another.After 2 hours of travelling, their distance becomes 140km.Sport car travels X distance within 6 hours, Police car travels X distance within 5 hours.How to find X, Sir?

[tsoojbaterdene]

Two cyclists are X km apart and travelling towards one another.After 1.6 hours of travelling, their distance becomes 0.2X.First cyclist travels X distance within t-3 hours.Second one travels within t hours.
How to find t, Sir?

[tsoojbaterdene]

A police car and a sports car are X km apart and travelling towards one another.After 7 hours of travelling, their distance becomes 136km.Sports car travels X distance within 10 hours, Police car travels X distancw within 12 hours.How to find X, Sir?
I think this problem is wrong.