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A metro train runs at a speed of 45 km/h. It covers a total distance of 72 km on its route from origin to destination station in 2 hours that includes
Question

A metro train runs at a speed of 45 km/h. It covers a total distance of 72 km on its route from origin to destination station in 2 hours that includes stops at intermediate stations. If it stops for 2 minutes at each station, how many intermediate stations are there in the route?

A.

24

B.

18

C.

12

D.

9

Correct option is C

Given:
Speed of train = 45 km/h
Total distance = 72 km
Total time (including stops) = 2 hours
Time without stops = 72/45 = 1.6 hours = 1 hour 36 minutes
Total time taken = 2 hours = 120 minutes

Solution:

Extra time due to stops=12096=24 minEach stop is 2 min=>Number of stops=242=12\begin{aligned}&\text{Extra time due to stops} = 120 - 96 = 24 \text{ min} \\&\text{Each stop is 2 min} \Rightarrow \text{Number of stops} = \frac{24}{2} = \boxed{12}\end{aligned}

Final Answer: 12

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