An express train traveled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
Question
An express train traveled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
Solution
Step 1: Calculate the total travel time without stops
The train travels at an average speed of 100 km/hr. So, to travel 600 km, it would take 600 km ÷ 100 km/hr = 6 hours.
Step 2: Calculate the number of stops
The train stops every 75 km. So, for a 600 km journey, it would stop 600 km ÷ 75 km/stop = 8 stops.
Step 3: Calculate the total time spent on stops
Each stop lasts for 3 minutes. So, for 8 stops, the train would spend 8 stops × 3 minutes/stop = 24 minutes.
Step 4: Convert the stop time to hours
There are 60 minutes in an hour. So, 24 minutes is equivalent to 24 minutes ÷ 60 = 0.4 hours.
Step 5: Calculate the total time to reach the destination
The total time to reach the destination is the sum of the travel time and the stop time. So, it would take 6 hours + 0.4 hours = 6.4 hours to reach the destination.
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