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Question

A train travelled 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?
Options:
A .  6 hrs 21 min
B .  7 hrs 14 min
C .  7 hrs 22 min
D .  6 hrs
Answer: Option A

Answer : Option A

Explanation :

$MF#%\text{Time taken to travel 600 km = }\dfrac{\text{Distance}}{\text{Speed}} = \dfrac{600}{100} = 6\text{ hour}
$MF#%

Now we need to find out the number of stops in the 600 km travel. Given that train stops
after every 75 km.

$MF#%\dfrac{600}{75} = 8
$MF#%

It means train stops 7 times before 600 km and 1 time just after 600 km. Hence we need
to take only 7 stops into consideration for the 600 km travel.
Hence, total stopping time in the 600 km travel = 7 x 3 = 21 minutes
Total time needed to reach the destination = 6 hours + 21 minutes = 6 hrs 21 min



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