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Calculating speed, distance and time in practical situations

Source: licencja: CC 0.

Obliczanie prędkości, drogi i czasu w sytuacjach praktycznych

Learning objectives

You will discover the method of calculating the distance with given the speed and the time and calculating the time with given distance and the speed.

Learning effect

  • You calculate the distance  with given speed and time.

  • You calculate time by given speed and distance.

  • You use English to describe the method of calculating the distance and the time.

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nagranie abstraktu

Prepare for the lesson a set of 6 cards. There is one of the following writings on each of them:

  • s = 56 m, t = 8 s, v = ?

  • s = 720 km, t = 9 h, v = ?

  • v = 60 kmh,  s = 420 km, t = ?

  • v = 4 kmh,  s = 8000 m, t = ?

  • v = 82 kmh,  t = 3 h, s = ?

  • v = 10 ms, t = 7 min, s = ?

A set of 3 cards cut out of a cardboard with the letters A, B or C.

Task 1
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nagranie abstraktu

Analyse the slideshow concerning the methods of calculating the distancedistancedistance with given speedspeedspeed and timetimetime and calculating the time with given speed and distance.  

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Pokaz multimedialny - droga i czas. Instrukcja obsługi z poziomu klawiatury: 1. Uruchomienie aplikacji - ENTER, 2. Na każdym ze slajdów czytany jest automatycznie tekst alternatywny po polsku, 3. Przy pierwszym uruchomieniu na pierwszym slajdzie, czytanie tekstu po angielsku - TAB, 4. Przejście między slajdami: do następnego slajdu - TAB, do poprzedniego slajdu - TAB + SHIFT, 5. Przejście do czytania napisu po angielsku - strzałka w górę + strzałka w dół (czyta tekst po angielsku widoczny na slajdzie).
Source: GroMar, licencja: CC BY 3.0.
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nagranie abstraktu

Consider:

  • How can we calculate the distancedistancedistance if  we know the speed and the timetimetime of the journey?

  • How can we calculate the time if we know the distance of the journey and the speed it has been travelled at?

Note, that:

  • The distance travelled is calculated by multiplying the speed by the time.

  • The time is calculated by dividing the distance travelled by the speed.

Using the gained information do the task concerning the distance, the time and the speed.

Task 2
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nagranie abstraktu

The vehicle has moved at the speed of v in the time of t. Calculate the length of the journey the vehicle has travelled:

a) v = 15 ms, t = 2 min,

b) v = 60 kmh,  t = 45 min.

Task 3
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nagranie abstraktu

The vehicle has travelled the distancedistancedistance of d, at the speedspeedspeed of v. Calculate the timetimetime spent on the journey.

a) d = 42 km, v = 14 kmh,

b) d = 7,5 km, v = 25 ms.

Task 4
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nagranie abstraktu

Darek and Adam decided to meet at the swimming pool. Darek lives 11 kilometres away from the swimming pool and Adam 7 kilometres away from it. Adam cycles his bike at the speed of 14 kmh, and Darek drives his motorbike at the speed of 44 kmh. What time should they leave their houses to arrive at the swimming pool at 12:35?

Task 5
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nagranie abstraktu

Ann and Kate live 3 kilometres away from each other. They decided to meet so they left their houses fifteen minutes ago and went towards each other. Ann walks at the speed of 3,5 kmh and Kate at the speed of  5 kmh.  How far away are they the girls from each other at the moment?

Task 6
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nagranie abstraktu

The cheetah runs at the speedspeedspeed of 30 ms, chasing the gazelle running away at the speed of 25 ms. How long will it take the cheetah to catch up the gazelle if the distancedistancedistance between them at the beginning was 40 m?

Task 7
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nagranie abstraktu

Use the set of 6 cards you have prepared for the lesson. Draw the cards step by step, next, calculate the speed, the timetimetime and the distance depending on the data written on the cards.

Task 8

An extra task:

Find out on the Internet the information about the speedspeedspeed of light and the distancedistancedistance from the Earth to the Sun. Calculate how many minutes it will take for the sun light to reach the Earth. Round the result to decimals.

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nagranie abstraktu

Remember:

  • The distance travelled is calculated by multiplying the speed by the time.

  • The time is calculated by dividing the distance travelled by the speed.

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nagranie abstraktu

Check what you have learned by doing the following tasks.

Exercises

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Exercise 1
Wersja alternatywna ćwiczenia: Determine which sentences are true. Możliwe odpowiedzi: 1. If the vehicle moves at the speed of 54 kmh, covering the distance of 40 km takes it more than 45 minutes., 2. If he speed of the vehicle increases by three times the time travelled reduces by three times., 3. The elephant moves at 38 kmh, in the time of 2,5 h he will walk more than 90 km.
Exercise 2

Two trains left the station in the opposite directions at the same time. What distance will separate them from each other after two hours journey if one of the trains moves at the speed of 75 kmh, and the other at 85 kmh?

Exercise 3

Calculate:

a) The distance which is covered in the time of 3 minutes by the kangaroo moving at the speed of 20 ms.

b) How long will it take the snail moving at 7 cmmin to walk the distance of 1,05 m?

Describe the method of calculating the time and the distance in English.

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Exercise 4
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. prędkość - speed, 2. droga - distance, 3. czas - time, 4. metr - metre, 5. kilometr - centimetre, 6. minuta - hour
zadanie
Source: GroMar, licencja: CC BY 3.0.
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Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Source: Zespół autorski Politechniki Łódzkiej, licencja: CC BY 3.0.

Glossary

speed
speed

prędkość

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wymowa w języku angielskim: speed
distance
distance

droga

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wymowa w języku angielskim: distance
time
time

czas

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wymowa w języku angielskim: time
metre
metre

metr

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wymowa w języku angielskim: metre
second
second

sekunda

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wymowa w języku angielskim: second
kilometre
kilometre

kilometr

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wymowa w języku angielskim: kilometre
centimetre
centimetre

centymetr

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wymowa w języku angielskim: centimetre
hour
hour

godzina

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wymowa w języku angielskim: hour
minute
minute

minuta

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wymowa w języku angielskim: minute

Keywords

speedspeedspeed

distancedistancedistance

timetimetime

metremetremetre

secondsecondsecond