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# As I plod along at 8km/hr from my house to the bus stop, I

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Senior Manager
Joined: 30 Aug 2003
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As I plod along at 8km/hr from my house to the bus stop, I [#permalink]  15 Jan 2004, 12:52
As I plod along at 8km/hr from my house to the bus stop, I miss the damn bus by a minute. Conversely, if I walk at 10 km/hr, I reach the buss stop 2 minutes early. What is the distance between my house and the bus stop?

a. 3.2 kms
b. 4
c. 5
d. 2
e. 1.5
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Pls include reasoning along with all answer posts.
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Director
Joined: 13 Nov 2003
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8x(t+1)=10x(t-2) , t=14 or 8x15 min =10x 12 min so Distance=2 km
Senior Manager
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I got 2 too..

suppose x is distance in miles..
x/8-x/10=3/60 ....
solve for x....(distance=2)
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shubhangi

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I solved it the same way. But only because I knew the formula. Does anyone know the actual reasoning behind why we subtract the x/8 and x/10? and combine the minutes?
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Pls include reasoning along with all answer posts.
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Senior Manager
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Time = Distance / Rate. Using this formula we can find the time. But we don't have the distance. So, we assume the distance as x.

1st time taken will be x/8
2nd time taken will be x/10

As x/8 will takes more time than the x/10 we subtract the second one to get the result.

Do I make sense ??
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# As I plod along at 8km/hr from my house to the bus stop, I

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