Two Lorries A and B ferry goods between two towns which are 3120 km apart. Lorry A traveled at km/h faster than lorry B and B takes 4 hours more than lorry A to cover the distance.
Calculate the speed of lorry B
Let's assume the speed of lorry B is x km/h.
Given that lorry A traveled at a speed km/h faster than lorry B, the speed of lorry A can be calculated as (x + km/h).
Now, we know that the time taken by lorry A to cover the distance is 3120 km / (x + km/h).
And we are given that lorry B takes 4 hours more than lorry A to cover the distance. So, the time taken by lorry B is (3120 km / (x + km/h)) + 4 hours.
We can set up an equation based on the given information:
Time taken by lorry A = Time taken by lorry B
3120 km / (x + km/h) = (3120 km / (x + km/h)) + 4
To solve this equation, we need to isolate the variable x.
First, we can get rid of the denominators by cross-multiplying:
3120 km = (3120 km / (x + km/h)) * [(x + km/h) + 4]
Simplifying this equation further:
3120 km = 3120 km + 4 * (x + km/h)
Now, let's solve for x:
3120 km - 3120 km = 4x + 4km/h
0 = 4x + 4km/h
Subtracting 4km/h from both sides:
-4km/h = 4x
Dividing both sides by 4:
- (4km/h) / 4 = x
Simplifying further:
- km/h = x
Therefore, the speed of lorry B (x) is equal to - km/h.