Time Distance Speed

Time Distance Speed Calculating Distance Calculating Speed and Time Time, Distance and Speed Problems Converting Hour Minutes to Decimal Time www.mathsrevision.com Converting Decimal Time to Hour Minutes Time – Distance Graphs Created by Mr. Lafferty Maths Dept.

Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

120o 70o Starter Questions 6x 4x 4x www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Distance Working Out Distance Learning Intention Success Criteria • Understand the distance formula. • 1. We are learning how to work out simple distance. • 2. Apply the formula to calculate simple distance. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Distance Working out Distances Level 4+ Imagine you were travelling in a train at a steady speed of 80km/hr. In 1 hour you travel : 80 x 1 = 80 km In 2 hours you travel : 80 x 2 = 160 km In 3 hours you travel : 80 x 3 = 240 km www.mathsrevision.com Can you guess what the formula is : in symbols Created by Mr. Lafferty Maths Dept.

Basic Fractional Hours You should already know : www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Remember times need to be consistent !! Distance Example : A racing car travelled at 50 km/hr. What is the distance covered in 6 hours ? Working www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Distance Working Out Distance Level 4+ Now try TJ4+ Ex 14.1 Ch14 (page 101) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Speed Working Out Speed Learning Intention Success Criteria • Understand the speed and Time formulae. • 1. We are learning how to calculate simple speed and time. • 2. Apply the formula to calculate simple speed and Time problems. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Speed Working Out Speed Level 4+ Imagine you sailed 45 kilometres between two islands and it took 3 hours. In 3 hours you travel : = 45 km In 1 hour you travel : 45 ÷ 3 = 15 km This means your speed is : 15km/hr www.mathsrevision.com Can you guess what the formula is : in symbols Created by Mr. Lafferty Maths Dept.

Speed Example : Sean flies to Majorca on holiday , a distance of 2500km. It took 4hrs to get there. What was the plane’s average speed? Working www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Distance Speed Mixed Problems Example : Liam drove from his house to the Fort William, a distance of 180 miles. It took him 3hrs. What was his average speed? Working www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Working Out Time Level 4+ Imagine you flew 800 miles to Paris and the average speed of the plane was 200 miles/hr. To travel 200 miles takes 1 hour : To travel 800 miles takes : 800 ÷ 200 = 4 hours www.mathsrevision.com Can you guess what the formula is : in symbols Created by Mr. Lafferty Maths Dept.

Time Ex : Tony ran 400 metres at an average speed of 5m/s. How long did he take to complete the race. Working www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Working Out Time Level 4+ Now try TJ4+ Ex 14.2 Ch14 (page 102) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Distance Speed Mixed Problems Learning Intention Success Criteria 1. Remember triangle method for distance, speed time problems. • 1. We are learning the triangle method for remembering the distance, speed and time formulae. 2. Apply triangle method to mixed problems. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

D=S T Time Distance Speed Mixed Problems Level 4+ D S T www.mathsrevision.com Simple way to remember the 3 formulae ! Created by Mr. Lafferty Maths Dept.

Time MUST be in hours format Time Distance Speed Mixed Problems Example 1 : Daniel drove from his house to the Blackpool, a distance of 135 miles. It took him 2hrs 15mins. What was his average speed? D Working S T www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Distance Speed Mixed Problems Example 2 : A train travelled at an average of 70 km/hr. What is the distance covered in 6 hour and 30mins ? D Working S T www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Distance Speed Mixed Problems Example 1 : How long did the bus journey take if it travelled a total distance of 60 km at an average speed of 40 km/hr. D Working S T www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

An overnight train left London at 2040 and reached Inverness at 0810 the next day. The distance travelled by the train was 552 miles. Calculate the average speed of the train. Created by Mr. Lafferty Maths Dept.

Ali drove overnight 406 miles from Galashiels to Portsmouth to catch a ferry to France. His average speed for the journey was 56 miles per hour. He arrived in Portsmouth at 0630. At what time did he leave Galashiels? Created by Mr. Lafferty Maths Dept.

(a) An inter-city coach left Aberdeen at 10.40 am and reached Inverness at 1.25pm. How long did the journey take? (b) The average speed of the coach during the journey was 40 miles per hour. Find the distance between Aberdeen and Inverness. Created by Mr. Lafferty Maths Dept.

Time Distance Speed Mixed Problems Level 4+ Now try TJ4+ Ex 14.3 Ch14 (page 103) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Hrs Mins to Decimal Time Converting Hrs Mins to Decimal Time Learning Intention Success Criteria 1. Remember that decimal time MUST be used in formulae. • 1. We are learning how to convert hours and minutes to decimal time. 2. Convert from hours and mins to decimal time. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Hrs Mins to Decimal Time Converting Hrs Mins to Decimal Time You should already know : Example 1 : 48 minutes to decimal is = 0.8 hr www.mathsrevision.com = 2.25 hr Example 2 : 2hr 15 minutes to decimal is To change minutes to a decimal ‘divide by 60’ Created by Mr. Lafferty Maths Dept.

Hrs Mins to Decimal Time Calculate the decimal hour value for minutes below. 9.75 hrs Convert 9 hrs 45 mins into hours 7.25 hrs Convert 7 hrs 15 mins into hours www.mathsrevision.com 6.5 hrs Convert 6 hrs 30 mins into hours Created by Mr. Lafferty Maths Dept.

Hrs Mins to Decimal Time Converting Hrs Mins to Decimal Time Try and remember the more common decimal hours 6 mins → 0.1 hrs 12 mins → 0.2 hrs 18 mins → 0.3 hrs 24 mins → 0.4 hrs 30 mins → 0.5 hrs www.mathsrevision.com 36 mins → 0.6 hrs 42 mins → 0.7 hrs 48 mins → 0.8 hrs 54 mins → 0.9 hrs Created by Mr. Lafferty Maths Dept.

Hrs Mins to Decimal Time Converting Hrs Mins to Decimal Time Calculate the decimal hour value for minutes below. 0.3hrs 0.7hrs 0.6hrs 0.5hrs 0.2hrs 0.1hrs www.mathsrevision.com 0.9hrs 0.4hrs Created by Mr. Lafferty Maths Dept.

Time Distance Speed Mixed Problems Ex : A bus travels from Glasgow to London a distance of 556.8km. It took 9 hours and 36 minutes. What was the average speed of the bus ? D Working S T www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Distance Speed Mixed Problems Example : A train travelled at 70 km/hr for 2hrs 54mins. How far did it travel in this time. D Working S T www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Distance Speed Converting Hrs Mins to Decimal Times Level 4+ Now try TJ4+ Ex 14.4 Ch14 (page 104) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Hrs Mins to Decimal Time Converting Decimal Time to Hrs Mins Learning Intention Success Criteria 1. Apply the rule for converting back from decimal time to hours and mins. • 1. We are learning how to convert back from decimal time to hours and minutes. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Hrs Mins to Decimal Time Converting Decimal Time to Hrs Mins You should already know : To change minutes to a decimal time ‘divide by 60’ www.mathsrevision.com To convert back to and minutes we do the opposite : To change decimal time to minutes ‘multiply by 60’ Created by Mr. Lafferty Maths Dept.

Hrs Mins to Decimal Time Converting Decimal Time to Hrs Mins To change decimal time to minutes ‘multiply by 60’ Example 1 : 0.7 hrs to minutes is = 42 mins www.mathsrevision.com 3.4 hrs to hours and minutes is Example 2 : = 3 hrs 24 mins Created by Mr. Lafferty Maths Dept.

Decimal Time to Hrs Mins Calculate the hours and minutes for theses decimal hours 3hrs 30mins 4hr 15mins www.mathsrevision.com 6hrs 45mins Created by Mr. Lafferty Maths Dept.

Hrs Mins to Decimal Time Converting Decimal Time to Hrs Mins Calculate the hours and minutes for theses decimal hours 4hrs 42mins 1hr 48mins 4hrs 36mins www.mathsrevision.com 1hr 24mins 3hrs 18mins Created by Mr. Lafferty Maths Dept.

Time Distance Speed Mixed Problems Ex : An aeroplane flies between Glasgow and New York. The distance between the two cities is 3200 miles. The average speed of the plane is 500 mph. How long did the journey take? D Working S T www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Distance Speed Converting Decimal Time to Hrs Mins Level 4+ Now try TJ4+ Ex 14.5 Ch14 (page 105) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Distance Graph Interpreting Time – Distance Graphs Learning Intention Success Criteria 1. Understand the term interpret. • We are learning to interpret Time – Distance Graphs. • Understand that the speed can be calculated from the • Time - Distance Graph. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Time Distance Graph Interpreting Time – Distance Graphs www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

Andrea leaves home in Perth at 7 am and drives 40 miles to Edinburgh Airport where she then catches a flight to Dublin. Her journey is shown on the graph. • How long does she spend waiting at Edinburgh Airport? • (b) Calculate the average speed of her flight from Edinburgh to Dublin. Created by Mr. Lafferty Maths Dept.

Have you updated your Learning Log ? Mixed Questions Now Now try TJ4+ Ex 14.6 Ch14 (page 107) www.mathsrevision.com Are you on Target ? I can ? Mind Map Created by Mr. Lafferty Maths Dept.

Time Distance Speed