Lesson Worksheet: Uniform Speed Mathematics

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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 to city along a route which is 54 km long. They both departed city 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 ? Give your answer in minutes.

Q2:

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

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

Q5:

If a body covered 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 , which starts at point . He heard the whistle of a train coming from beyond point after he had covered 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 and narrowly avoid the train there or run toward 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:

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

Q8:

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

Q9:

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

Q10:

Two bodies started moving from points and in the direction of , 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 from after minutes, find and .

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