If a vehicle travels at a constant or uniform speed, the formula that relates distance, speed and time is:

Distance = speed time

 

First Case Scenario

The vehicles are travelling towards one another.

Two cities, A and B are located 300 miles from each other. At 9 am, a car leaves City A with a speed of 90 mph and travels towards City B. At the same time, a car leaves City B travelling towards City A with a speed of 60 mph. Find:

 

1 The time it takes for the cars to pass each other.

hours

 

2 The time at which they passed each other.

They were at 11 of the morning.

 

3 The distance traveled by each at the time of them passing each other.

miles

miles

 

Second Case Scenario

The vehicles are travelling in the same direction from different starting points.

Two cities, A and B are located on the same east-west highway, 180 miles from each other. At 9 am, a car leaves each city, both travelling east. The car that leaves City A travels at 90 mph, and the car that leaves City B travels at 60 mph. Find:

1. The time it takes for Car A to reach Car B:

hours

2. The time at which Car A reaches Car B:

Car A reaches Car B at 3 in the afternoon.

 

3. The distance traveled by each at the time of Car A reaching Car B:

miles

miles

 

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Third Case Scenario

The vehicles are travelling in the same direction with the same starting point.

A car leaves a city with a speed of 90 mph. Three hours later and out of the same city another car in pursuit of the first leaves with a speed of 120 mph. Find:

1. The time it takes for the second car to reach the first.

hours

2. The distance from the city when the second car reaches the first.

miles

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Emma

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.