if mohit starts walking from his house at a speed of the 5.4 km/h he reaches his school in 40 minutes what will be the time taken by him to reach his school if runs at 8km/h
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If Ram walks from his house at 5 kmph, he reaches school 5 min early, and if he walks at 4 kmph he reaches it 5 min late. What is the actual distance between Ram's house and his school?
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27 ANSWERS
Alok Karande, Studied mathematics in School and Under-grad
Answered Aug 30, 2016
Lets assume the distance from Ram’s house to the school be X.
When Ram travels at 5 kmph he takes X/5 hours to reach his school.
When Ram travels at 4 kmph he takes X/4 hours to reach his school.
We know that the difference between the time taken with the first case (5 kmph) and the second case (4 kmph) is 10 minutes (5 minutes early v/s 5 minutes late).
10 minutes is 1/6 th of an hour.
Therefore, X/4 - X/5 = 1/6.
This can be rewritten as :
X/20 = 1/6 or X = 20/6 = 3.33 km.
Therefore the distance from Ram’s house to his school is 10/3 or 3.33 km.
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27 ANSWERS
Alok Karande, Studied mathematics in School and Under-grad
Answered Aug 30, 2016
Lets assume the distance from Ram’s house to the school be X.
When Ram travels at 5 kmph he takes X/5 hours to reach his school.
When Ram travels at 4 kmph he takes X/4 hours to reach his school.
We know that the difference between the time taken with the first case (5 kmph) and the second case (4 kmph) is 10 minutes (5 minutes early v/s 5 minutes late).
10 minutes is 1/6 th of an hour.
Therefore, X/4 - X/5 = 1/6.
This can be rewritten as :
X/20 = 1/6 or X = 20/6 = 3.33 km.
Therefore the distance from Ram’s house to his school is 10/3 or 3.33 km.
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Answer:
Step-by-step explanation:
1st case:
Velocity of mohit = 5.4km/hr
Time taken to reach school = 40min=40/60hr = 2/3 hr
We know,
Velocity = displacement /time taken
5.4 = d/(2/3)
d=3.6 km
(unit of displacement are in km and time are in hour).
2nd case:
For same displacement
Velocity =displacement / time taken
8 =3.6/t
t =0.45 hour
t= 0.45 *60 min=27 minutes
Hope this solution will help you.
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