Lesson Worksheet: Uniform Speed Mathematics

In this worksheet, we will practice solving problems about motion of a body with constant speed using the definition of speed, speed = distance/time.

Q1:

Two cars traveled from city 𝐴 to city 𝐡 along a route which is 54 km long. They both departed city 𝐴 at the same time. If the speed of the first car was 40 km/h and the speed of the second car was 60 km/h, what is the time difference between their arrival times at city 𝐡? Give your answer in minutes.

Q2:

Two cars were moving in opposite directions on a road between 𝐴 and 𝐡. The first car started at point 𝐴 and traveled at 104 km/h, and the second started at point 𝐡 and traveled at 100 km/h. Given that the points 𝐴 and 𝐡 are 153 km apart, determine the time 𝑑 and the distance 𝑑 from point 𝐴 at which the two cars met.

  • A𝑑=75km, 𝑑=45min
  • B𝑑=78km, 𝑑=80min
  • C𝑑=76.5km, 𝑑=22.5min
  • D𝑑=76.5km, 𝑑=90min
  • E𝑑=78km, 𝑑=45min

Q3:

A train traveling with a uniform speed of 180 km/h passed through a tunnel in 18 seconds. Given that the train was 210 meters long, find the length of the tunnel.

Q4:

A motorcycle started moving from a point 𝐴 at a uniform speed. Given that, after 3 minutes, it was 2 km from 𝐴, and, after 8 minutes, it was 18 km from the same point, determine the speed of the motorcycle.

Q5:

If a body covered 𝑑 meters in 10 minutes with a uniform velocity of 44 m/min, find the time taken to cover this distance when the body moves with a velocity of 20 m/min.

Q6:

A man was walking on a railroad bridge 𝐴𝐡, which starts at point 𝐴. He heard the whistle of a train coming from beyond point 𝐴 after he had covered 15 of the bridge’s length. The train was heading toward him at a uniform speed of 20 km/h. Given that, at a certain speed, the man could either run toward 𝐴 and narrowly avoid the train there or run toward 𝐡 and narrowly avoid the train there, what is the minimum uniform speed that he must move with in order to avoid being hit by the train?

Q7:

Two bodies started moving from points 𝐴 and 𝐡 in the direction of 𝐡𝐴, where the distance between them was 35 km. Given that the bodies were moving with uniform velocities of 1,400 m/min and 119 km/h, respectively, and that they met at a distance 𝑑 from 𝐴 after 𝑑 minutes, find 𝑑 and 𝑑.

  • A𝑑=168km, 𝑑=120min
  • B𝑑=84km, 𝑑=60min
  • C𝑑=119km, 𝑑=60min
  • D𝑑=49km, 𝑑=35min
  • E𝑑=84km, 𝑑=120min

Q8:

A body moved with a uniform speed of 100 km/h for 2 hours. What is the distance covered by the body in meters?

Q9:

A car travels a distance of 180 km in 2 h. What is the uniform speed of the car in meters per second?

Q10:

A man sprints 100 meters in 11 seconds. Which of the following is most likely to be his top speed?

  • A10 m/s
  • B10 mph
  • C10 m/min
  • D10 km/s
  • E10 km/h

This lesson includes 7 additional questions and 81 additional question variations for subscribers.

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