Solving Problems on Speed, Distance, and Time
Learn how to calculate average speed, total distance, and total time taken in math problems involving speed, distance, and time. Understand the units of speed for different distances and time measurements. Practice solving scenarios to determine speed limits, travel distances, and average speeds of runners like Clark in a marathon.
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10 March 2025 Speed, distance and time LO: To solve problems about speed, distance and time. www.mathssupport.org
Average speed The average speed s is calculated by dividing the total distance travelled d by the total time taken t. distance travelled (d) time taken (t) Average speed (s)= A mnemotechnic to remember this formula d s t www.mathssupport.org
Average speed To calculate the total time taken t. distance travelled (d) time taken (t) = Average speed (s) A mnemotechnic to remember this formula d s t www.mathssupport.org
Average speed To calculate the total distance travelled d. time taken (t) distance travelled (d) = Average speed (s) A mnemotechnic to remember this formula d s t www.mathssupport.org
Average speed The unit for Distance is metres The unit for Time is seconds So what is the unit for speed? 345018 m/s www.mathssupport.org
Average speed The unit for Distance is miles The unit for Time is hours So what is the unit for speed? 345018 mph miles per hour www.mathssupport.org
Average speed The unit for Distance is kilometres The unit for Time is hours So what is the unit for speed? 345018 km/h kilometres per hour www.mathssupport.org
30 What s the speed limit? At this speed, how far would you travel in 1 hour? in 2 hours? in an hour? in 10 minutes? www.mathssupport.org
70 50 60 40 If I travel 25 kilometres in an If I travel 15 kilometres in of an If I travel 10 kilometres in of an If I travel 70 kilometres in 1 hour, what s my speed? hour, what s my speed? hour, what s my speed? hour, what s my speed? www.mathssupport.org
Average speed d s t Clark runs a 42.2 km marathon in 3 hours 5 minutes and 17 seconds. Find his average speed in Km/h d t d = 42.2 km 5 60 3600 42.2 s = s = 5 17 3 + + 60 3600 17 + 3 + t = hours s 13.7 km/h Clark s average speed is about 13.7 km/h www.mathssupport.org
Average speed d s t Biathlete Jo cycles 60 km at a speed of 30 km/h, and then runs another 15 km at a speed of 10 Km/h. Find: (a) The total time Jo trains for (b) The average speed for Jo s training session. s = d t total distance = 60km + 15km = 75 km d s t = cycling t = 60 km 30 km/h t = 2 hours t = d s t = 15 km 10 km/h total time = 3.5 h running 75km 3.5h s = s 21.4 km/h t = 1.5 hours total time = 2 h + 1.5 h = 3.5 hours www.mathssupport.org
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