# Worksheet: Uniform Linear Motion

In this worksheet, we will practice solving rate problems using the formula d = rt, where d represents distance, r represents rate, and t represents time.

**Q2: **

Two cars left travelling to a city, , 54 km away from city at the same time. If the speed of the first car was 40 km/h, and the second car was moving at 60 km/h, how long will the second car wait at city for the first car to arrive?

**Q3: **

Two cars were moving in opposite directions on a road between and . The first car started at point and travelled at 104 km/h, and the second started at point and travelled 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.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q4: **

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

**Q5: **

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.

**Q6: **

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.

- A 44 minutes
- B 5 minutes
- C 9 minutes
- D 22 minutes

**Q8: **

A man was walking on a railway bridge , which starts at point . He heard the whistle of a train coming from beyond point after he had covered of the bridgeβs length. The train was heading towards him at a uniform speed of 20 km/h. Given that, at a certain speed, the man could either run towards and narrowly avoid the train there or run towards 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?

- A 28 km/h
- B 220 km/h
- C 16 km/h
- D 12 km/h
- E 4 km/h