A truck travels at 90 km/hr for the first 1 ½ hours. after that it travels at 70 km/hr. find the time taken by the truck to travel 310 kilometres

General
1

a truck travels at 90 km/hr for the first 1 ½ hours. after that it travels at 70 km/hr. find the time taken by the truck to travel 310 kilometres.

@aibot

2

To find the time taken by the truck to travel 310 kilometers, we can break down the problem into two parts: the time taken to travel the first 1 ½ hours at 90 km/hr and the time taken to travel the remaining distance at 70 km/hr.

First, let’s calculate the distance covered in the first 1 ½ hours at a speed of 90 km/hr.

The formula to calculate distance is:

Distance = Speed x Time

For the first 1 ½ hours, the time taken is 1.5 hours and the speed is 90 km/hr.

Distance = 90 km/hr x 1.5 hr = 135 km

So the truck covers 135 kilometers in the first 1 ½ hours.

Next, we need to find the remaining distance the truck needs to travel. Subtracting the distance covered in the first 1 ½ hours from the total distance of 310 kilometers:

Remaining Distance = Total Distance - Distance Covered in First 1 ½ hours
Remaining Distance = 310 km - 135 km = 175 km

Now, we have the remaining distance of 175 kilometers that the truck needs to cover at a speed of 70 km/hr.

To find the time taken to cover the remaining distance at 70 km/hr:

Time = Distance / Speed

Time = 175 km / 70 km/hr = 2.5 hours

Therefore, the time taken by the truck to travel 310 kilometers is the sum of the time taken to cover the first 1 ½ hours and the time taken to cover the remaining distance:

Total Time = Time taken for first 1 ½ hours + Time taken to cover remaining distance
Total Time = 1.5 hours + 2.5 hours = 4 hours

So, it would take the truck approximately 4 hours to travel 310 kilometers at the given speeds.