Description
Nick and Tom are racing home. Nick starts on 78th street and runs uptown at a rate of 2 blocks per minute, and Tom runs downtown from 168th street at 3 blocks per minute. On what street will they meet?
Explanation & Answer
Thank you for the opportunity to help you with your question!
-------------------------------------------------------------------------------------------------
Number of blocks between Nick and Tom = 168 - 78 = 90
Let x be the number of blocks that Nick would have covered when he meets Tom.
So Tom would have covered 90 - x blocks by the time he meets Nick.
Nick's speed = 2 blocks per minute
Tom's speed = 3 blocks per minute
We know that
or
So both of them would have run for t minutes before meeting.
For Nick
---(1)
For Tom
---(2)
The LHS of equations (1) and (2) are equal. So their RHS must also be equal.
So Nick would have covered 36 blocks when he meets up with Tom.
Hence the street at which Nick and Tom meet = 78 + 36 = 114th street
-------------------------------------------------------------------------------------------------
Please let me know if you need any clarification. I'm always happy to answer your questions.Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
Twilight
by Stephenie Meyer
The Girl With The Dragon Tattoo
by Stieg Larsson
Daisy Miller
by Henry James
The Magic Mountain
by Thomas Mann
Milkweed
by Jerry Spinelli
Becoming
by Michelle Obama
To the Lighthouse
by Virginia Woolf
Mrs Dalloway
by Virginia Woolf
The Great Gatsby
by Francis Scott Key Fitzgerald