SSC MTS 2026 Sample Question Paper (1) with Solutions

# Q1 of 90

A freight train covers a distance of 120 km at a speed of 40 km/h, another 150 km at 50 km/h, and a final segment of 80 km at 80 km/h. Determine the average speed of the train for the entire journey.

Options
A.

60 km/h

B.

45 km/h

C.

50 km/h

D.

55 km/h

Show Answer
Correct Answer
C 50 km/h
Solution

The correct option is 50 km/h.

Step 1: Understand the formula for Average Speed
Average speed for a journey consisting of multiple segments is defined as the total distance covered divided by the total time taken for the entire trip.

Average Speed=Total DistanceTotal Time

Step 2: Calculate the time taken for each segment of the journey
Using the time-distance-speed formula:
Time=DistanceSpeed

For the first segment (120 km at 40 km/h):
Time1=120 km40 km/h=3 hours

For the second segment (150 km at 50 km/h):
Time2=150 km50 km/h=3 hours

For the third segment (80 km at 80 km/h):
Time3=80 km80 km/h=1 hour

Step 3: Calculate the Total Distance and Total Time
Total Distance:
Total Distance=120+150+80=350 km

Total Time:
Total Time=3+3+1=7 hours

Step 4: Compute the Average Speed
Now, substitute the total distance and total time into the average speed formula:

Average Speed=350 km7 hours=50 km/h

Thus, the average speed of the freight train for the entire journey is 50 km/h.

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