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Students who want to learn Time and Distance Problems can refer to Time and Distance Worksheets. In this article, we are including all the problems related to the calculation of speed. You can know the speed calculation process with the help of a Worksheet on Calculating Speed. Everything you have to know about speed problems is included in this article along with the extra questions. Speed Problems Worksheet will also let you know about the shortcut ways to calculate speed. Therefore, without skipping, practice every problem available in this article.Our Calculating Speed Worksheets will create an interest for students to learn math. If you want to make your students show interest in math, you must make them use our Time and Distance Worksheets. All the real-time speed distance time problems are included with a clear explanation.1. Sam walks 25 km in 10 hours, find her speed?Solution:Given that Sam walks 25 km in 10 hours.Therefore, the distance = 25km, the time = 10 hours,We know that Speed = distancetime.Substitute the given value in the formula.Speed = 25km10hoursSpeed = 2510 kmhoursThe Speed = 52 kmhoursSpeed = 2.5 kmhr 2. A bus covers a distance of 650 m in 1 minute whereas a car covers 96 km in 15 minutes. Find the ratio of their speeds?Solution:Firstly, calculate the speed of the bus.Given that A bus covers a distance of 650 m in 1 minute.1 minute = 60 secondsTherefore, the distance = 650 m, the time = 60 seconds,We know that Speed = distancetime.Substitute the given value in the formula.Speed = 650 m60 secondsThe Speed = 65060 msecSpeed = 13012 msecSecondly, calculate the speed of the car.Given that a car covers 96 km in 15 minutes.Therefore, the distance = 96 km, the time = 15 minutes,We know that Speed = distancetime.Substitute the given value in the formula.Speed = 96 km15 minutesConvert minutes to km15 minutes = 1560hr = 14 hrSpeed = 96 km(14 hr)Speed = 96 × 4 kmhr = 384 kmhrConvert Kmhr to msecMultiply 185 to kmhr to convert it into msec384 kmhr = 384 (185) = 69125 msecFind the ratio of speeds.Speed of the busSpeed of car = (13012)69125 = 10..4. 3. Olivia travels a distance of 8 km from her house to the school by auto-rickshaw at 16 kmhr and returns on rickshaw at 20 kmhr. Find the average speed for the whole journey?Solution:Given that Olivia travels a distance of 8 km from her house to the school by auto-rickshaw at 16 kmhr and returns by a rickshaw at 20 kmhr.Firstly, calculate the time taken to move from house to school.Time taken by Olivia to reach school = DistanceSpeed = 816hr = 12 hrNext, calculate the time taken to move from school to house.Time taken by Olivia to reach house = DistanceSpeed = 820hr = 25hrTotal time of journey = (12 + 25)hr = 910 hrTotal distance = (8 + 8) km = 16 kmAverage speed = Total DistanceTotal TimeAverage Speed = 16 km(910) hrThe Average Speed = (16 × 109) kmhrAverage Speed = 17.77 kmhr (approximately) 4. A bus covers 18 km in 2 hours. Find its speed?Solution:Given that a bus covers 18 km in 2 hours.Therefore, the distance = 18 km, the time = 2 hours,We know that Speed = distancetime.Substitute the given value in the formula.Speed = 18 km2 hoursThe Speed = 182 kmhoursSpeed = 9 kmhr 5. Michael traveled 70 km in 3 hours by train and then traveled 40 km in 2 hours by car and 30 km in 2 hours by cycle. What is the average speed during the whole journey?Solution:Given that Michael traveled 70 km in 3 hours by train and then traveled 40 km in 2 hours by car and 30 km in 2 hours by cycleTotal Distance = 70 km + 40 km + 30 km = 140 kmTotal time = 3 hours + 2 hours + 2 hours = 7 hoursAverage Speed = Total distanceTotal time = 140 km7 hoursThe Average Speed = 1407 kmhourAverage Speed = 20 kmhourThe average speed of the whole journey is 20 kmhr. 6. A car moves from B to C at a speed of 40 kmhr and comes back from C to B at a speed of 20 kmhr. Find its average speed during the journey?Solution:Given that a car moves from B to C at a speed of 40 kmhr.Here the distance = 40 km, time = 1 hrThe car comes back from C to B at a speed of 20 kmhr.Here the distance = 20 km, time = 1 hrThe average speed = Total distanceTotal timeTotal Distance = 40 km + 20 km = 60 kmTotal time = 1 hr + 1 hr = 2 hoursAverage Speed = Total distanceTotal time = 60 km2 hoursThe Average Speed = 602 kmhourAverage Speed = 30 kmhourThe average speed during the journey is 30 kmhr. 7. A car covers a distance of 30 m in 2 minutes whereas a train covers a distance of 25 km in 5 minutes. Find the ratio of their speed?Solution:Given that a car covers a distance of 30 m in 2 minutes.Speed = distancetimeThe Speed = 30 m 2 minutesSpeed = 302 mminutes2 minutes = 60 × 2 = 120 secSpeed = 30120 msecConver msec to kmhrmsec × 185 = kmhr30120 msec × 185 = 14 × 185 kmhr = 1820 kmhrNext, find the speed of the trainA train covers a distance of 25 km in 5 minutesConver minutes into hours5 minutes = 560 hoursSpeed = distancetimeThe Speed = 25 km (560) hoursSpeed = 25 × 605 kmhours = 5 × 60 kmhrSpeed = 300 kmhrRatio of speeds = (1820) : 300 = 18 : 6000 = 9 : 3000 = 3 : 1000 8. A car covers a distance of 80 km in 4 hours. However, for the first 60 km it travels 30 kmhr. At what speed must it travel for the rest of the distance in order to complete the journey on time?Solution:A car covers a distance of 80 km in 4 hours.If for the first 60 km it travels 10 kmhr, then time = distancespeed as speed = distancetimeTime = 60 km30 kmhrTime = 2 hrThe remaining time to travel the remaining distance of 20 km is 4 hours – 2 hours = 2 hoursTherefore, Speed = remaining distance remaining time = 20 km2 hoursSpeed = 10 kmhrTherefore, the car must travel with a speed of 10 kmhr to travel the rest of the distance in order to complete the journey on time. 9. A bus covers a certain distance in 60 minutes if it runs at a speed of 60 kmhr. What must be the speed of the bus in order to reduce the time of the journey by 20 minutes?Solution:A bus covers a certain distance in 60 minutes if it runs at a speed of 60 kmhr.Speed = distancetime kmhrDistance = speed × time60 minutes = 6060 = 1 hrDistance = 60 kmhr = 60 kmIf the time of the journey reduced by 20 minutes, the remaining time = 40 minutes.Speed = DistancetimeThe Speed = 60 km(4060)hrSpeed = 60 × 6040 km hrSpeed = 90 kmhr
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