Arobot moving forward at a constant speed takes 2.5 hours to travel 1 kilometer. moving forward at this same constant speed, it takes the robot 90 seconds to travel the length of a particular hallway. how many meters long is the hallway?

The length of the hallway is 10 m.

Step-by-step explanation:

Given:

Time taken to cover 1 km = 2.5 hours

Distance covered in 2.5 hours = 1 km

Therefore, speed of robot =

Now, speed is constant.

Now, time taken to cover the length of hallway = 90 s

Speed of the robot = 0.4 km/h

Converting 0.4 km/h to m/s, we multiply by the factor . This gives,

Now, distance of the hallway is equal to the product of speed and time. So,

Distance of hallway = Speed Time

Distance of hallway =

Therefore, the length of the hallway is 10 m.

x/3-10=8

x/3=18

x=48