Speed, Distance and Time Quiz

For each question, find the speed given the distance travelled and the time taken. Give your answer in metres per second (m/s). Where appropriate, round to two decimal places.

a. Distance = 30m Time = 45 seconds

• 2.7m/s

• 0.66 m/s

• 10m/s

• 4.5m/s

Answer explanation

To find speed, use the formula: speed = distance / time. Here, speed = 30m / 45s = 0.66 m/s. Thus, the correct answer is 0.66 m/s.

For each question, find the distance travelled given the speed and the time taken. Give your answer in metres.

a. Speed = 1.2m/s Distance = 100m

Answer explanation

To find the distance travelled, use the formula: Distance = Speed x Time. Given Speed = 1.2 m/s and Distance = 100 m, the time taken can be calculated as Time = Distance / Speed = 100 m / 1.2 m/s = 83.33 seconds.

For each question, find the time taken given the speed and the distance travelled. Give your answer in seconds. Where appropriate, round to two decimal places.

b. Speed = 7.3m/s Distance = 70m

Answer explanation

To find the time taken, use the formula: time = distance / speed. Here, time = 70m / 7.3m/s = 9.589 seconds. Rounding to two decimal places, the time taken is 9.59 seconds.

A train leaves Leicester at 15:44 and arrives at Derby at 16:11. Given this is a journey of 35 miles, find the average speed of the train. Give your answer to one decimal place and in miles per hour (mph).

Answer explanation

The journey takes 27 minutes (16:11 - 15:44). Convert 27 minutes to hours: 27/60 = 0.45 hours. Average speed = distance/time = 35 miles / 0.45 hours = 77.8 mph. Thus, the average speed is 77.8 mph.

A speed boat company offers 1 and 1/2 hour trips. The boat can travel between 60 and 85mph.

a. What is the maximum distance the boat can travel in this time?

b. What is the minimum distance the boat can travel in this time?

Answer explanation

a. Maximum distance = speed x time = 85 mph x 1.5 hrs = 127.5 miles. b. Minimum distance = 60 mph x 1.5 hrs = 90 miles. Thus, max distance is 127.5 miles and min distance is 90 miles.

In Northern Ireland, the maximum speed limit is 70mph. In the Republic of Ireland, the maximum speed limit is 120km/h. Which country has the higher speed limit? You can use the fact that 5 miles ≈ 8 kilometres.

Answer explanation

To compare speed limits, convert 70mph to km/h. Using the fact that 5 miles ≈ 8 km, 70 miles is approximately 112 km. Since 120 km/h (Republic of Ireland) is greater than 112 km/h, the Republic of Ireland has the higher speed limit.

For each question, find the speed given the distance travelled and the time taken. Give

your answer in metres per second (m/s). Where appropriate, round to two decimal

places

b. Distance = 50m

Time = 10 seconds

• 2m/s

• 0.5 m/s

• 5m/s

• 0.2 m/s

Answer explanation

To find speed, use the formula: speed = distance / time. Here, speed = 50m / 10s = 5m/s. Thus, the correct answer is 5m/s.