## Logical Reasoning: The Queen Hill Hotel – LR Set

Ramu is a delivery boy at The Queen Hill Hotel. The hotel is peculiar as no road inside the hotel premises is flat; it either goes uphill or downhill. Ramu’s uphill speed is 60m/min and downhill speed is 90m/min. It is also known that he takes 2 minutes to serve the order in the room.

Q)If Ramu takes 17 minutes for a round-trip, what is the total distance(in meters) between the room and the kitchen ?

a) 2700

b) 540

c) 1080

d) Can not be determined

Sol. c) 1080

Since Ramu takes 2 minutes to only set up the order, the time taken to travel the distance is 15 minutes.

Now, the path either goes uphill or downhill, so let x be the distance covered uphill and y be the distance covered downhill while travelling from the kitchen to the room. It should be noted that the distance traveled uphill while going to room is the distance traveled downhill on the way back and vice-versa.

So, the total time taken can be written as:

Thus, the total distance covered is 2(x+y) = 1080 m

2.What is the average speed in m/min for the trip?

a) 72

b) 36

c) 60

d) Cannot be determined

Sol. a) 72

As calculated earlier, the total distance covered is 1080 meters in 15 mins, thus the average speed is 72 m/min.

3. What is the ratio of distances covered uphill and downhill, for a round-trip?

a) 1:1

b) 3:2

c) 4:1

d) Cannot be determined

Sol. a) 1:1

As seen earlier, the distance traveled uphill in one direction, becomes downhill while coming back and vice-versa. So, the ratio of the distances is 1:1.