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27 Jun 2024, 03:31
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Difficulty:
65%
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Question Stats:
68% (03:02) correct
32%
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wrong
based on 124
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Two brothers, A and B, set out for a station 9 miles away from their home. They both walk at 3 miles per hour. After going one mile, A decided to return to their home for an urgent work. At what rate (in miles per hour) must A now walk in order that he reaches the station at the same time as B, given that he spends 30 minutes at his home?
A. 7/2
B. 15/4
C. 60/13
D. 16
E. 6
A. 7/2
B. 15/4
C. 60/13
D. 16
E. 6
27 Jun 2024, 07:42
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Given - Two brothers, A and B, set out for a station 9 miles away from their home. They both walk at 3 miles per hour. After going one mile, A decided to return to their home for an urgent work.
House ------(1mile)-------(Point of A returning and B heading towards station)-------(8mile)-------Station.
Time taken by B to reach station = Distance / Speed = 8/3 = 2+2/3 (2Hr40Min)
But, A now walk in order that he reaches the station at the same time as B, given that he spends 30 minutes at his home.
Therefore A has to reach station within 2Hr10Min = 13/6Hrs Plus he has to cover 10miles
So, Speed at which A will walk = Distance / Time = 10 / (13/6) = 60/13 mph
Answer C
House ------(1mile)-------(Point of A returning and B heading towards station)-------(8mile)-------Station.
Time taken by B to reach station = Distance / Speed = 8/3 = 2+2/3 (2Hr40Min)
But, A now walk in order that he reaches the station at the same time as B, given that he spends 30 minutes at his home.
Therefore A has to reach station within 2Hr10Min = 13/6Hrs Plus he has to cover 10miles
So, Speed at which A will walk = Distance / Time = 10 / (13/6) = 60/13 mph
Answer C
27 Jun 2024, 09:31
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B takes 3 hrs to cover 9 miles.
So total time A can take is also 3hrs.
First 20mins A travels 1 mile.
Now the effective distance A has to cover is 10miles (9+1)
And time left is 2hrs 40mins
But A spends 30more mins at home.
So, time left is 2 hrs and 10mins = 13/6 hrs
Now A has to cover 10mils in 13/6hrs
10/13/6
=60/13
So total time A can take is also 3hrs.
First 20mins A travels 1 mile.
Now the effective distance A has to cover is 10miles (9+1)
And time left is 2hrs 40mins
But A spends 30more mins at home.
So, time left is 2 hrs and 10mins = 13/6 hrs
Now A has to cover 10mils in 13/6hrs
10/13/6
=60/13
