Worksheet: Uniform Speed

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.

  • A 𝑑 = 7 5 k m , 𝑑 = 4 5 m i n
  • B 𝑑 = 7 8 k m , 𝑑 = 8 0 m i n
  • C 𝑑 = 7 6 . 5 k m , 𝑑 = 2 2 . 5 m i n
  • D 𝑑 = 7 6 . 5 k m , 𝑑 = 9 0 m i n
  • E 𝑑 = 7 8 k m , 𝑑 = 4 5 m i n

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.

  • A22 minutes
  • B9 minutes
  • C5 minutes
  • D44 minutes

Q6:

Benjamin starts walking along a path at a constant 4 mph. One and a half hours after Benjamin leaves, his sister Hannah starts jogging along the same route at a constant 6 mph. How long will it take Hannah to catch up with Benjamin?

Q7:

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?

  • A16 km/h
  • B12 km/h
  • C220 km/h
  • D28 km/h
  • E4 km/h

Q8:

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.

  • A 𝑑 = 1 6 8 k m , 𝑑 = 1 2 0 m i n
  • B 𝑑 = 8 4 k m , 𝑑 = 6 0 m i n
  • C 𝑑 = 1 1 9 k m , 𝑑 = 6 0 m i n
  • D 𝑑 = 4 9 k m , 𝑑 = 3 5 m i n
  • E 𝑑 = 8 4 k m , 𝑑 = 1 2 0 m i n

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