BdMO National Primary 2016/1

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
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samiul_samin
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BdMO National Primary 2016/1

Unread post by samiul_samin » Thu Feb 15, 2018 11:09 am

If a $1$ mile long train crosses a $2$ mile platform in $1 $ minute,then what is the required time for $2016$ mile long train of same speed while crossing a $2016$ mile platform?
Last edited by samiul_samin on Fri Feb 16, 2018 6:29 pm, edited 1 time in total.

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samiul_samin
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Re: BdMO National Primary 2016/1

Unread post by samiul_samin » Thu Feb 15, 2018 7:28 pm

Hint
The speed of the train is $3 mile/minute$
Answer
$22$ hour and $24$ minutes.

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samiul_samin
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Re: BdMO National Primary 2016/1

Unread post by samiul_samin » Thu Feb 15, 2018 7:38 pm

Solution
Case $1$
Total distance$=2+1=3$ mile
Time=$1 minute$
Speed=$3 mile/minute$
Case2
Total distance$=2016+2016=4032 mile$
Speed$=3 mile/minute$.
Time$=4032/3=1344 minute$
So,the answer is $\fbox{22 hour and 24 minutes}$

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