Nitin walks 3/4 of his usual speed and reaches his home 10 minutes late find the usual time taken by him to reach his home. full concept
Answers
30 Minutes .
Solution in the attachment.
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The time taken by Nitin to reach his home is 30 minutes.
Given:
Nitin walks at 3/4 of his usual speed and reaches his home 10 minutes late
To find:
Find the usual time taken by him to reach his home.
Solution:
Let Nitin's initial speed is 'x' km per hour and 't' be the original time
As we know Distance = Speed × Time
Distance traveled by Nitin = x × t
Given that Nitin walks at 3/4 of his speed and reaches 10 mins late
Nitin's speed = 3/4(x) = 3x/4
Time taken to travel = (t + 10)
Distance travelled = 3x/4 (t + 10)
As we know the distance cannot be changed in both cases
=> x × t = 3x/4 (t + 10)
=> t = 3(t + 10)/4
=> 4t = 3t + 30
=> t = 30
Therefore,
The time taken by Nitin to reach his home is 30 minutes.
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