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Svetach [21]
3 years ago
15

Youssef can either way from his home to his workplace or ride his bicycle. he walks at a pace of 1 block per min, but he can tra

vel 1 block in 20 sec on his bicycle. if it takes youssef 10 min longer to walk to work than to ride his bike, how many blocks away from work does he live ?​
Mathematics
1 answer:
alex41 [277]3 years ago
4 0

Youssef lives 15 blocks away from his work

<em><u>Solution:</u></em>

Given that Youssef can either way from his home to his workplace or ride his bicycle

Let "x" be number of blocks away from work Youssef works

<u><em>Case 1: walking</em></u>

He walks at a pace of 1 block per min

Therefore,

1 block = 1 minute

Thus to cross "x" blocks he takes "x" minutes

<em><u>Case 2: Bicycle</u></em>

He can travel 1 block in 20 sec on his bicycle

We know that,

To convert seconds to minute, divide the time value by 60

\rightarrow 20 seconds = \frac{20}{60} minutes = \frac{1}{3} minutes

Thus he takes 1/3 minutes for 1 block

So to cross "x" blocks he will take \frac{x}{3} minutes

Given that it takes youssef 10 min longer to walk to work than to ride his bike

This means difference between time taken to cross "x" blocks by walking and ride by bicycle is 10 minutes

\rightarrow x - \frac{x}{3} = 10\\\\\rightarrow \frac{3x - x}{3} = 10\\\\\rightarrow \frac{2x}{3} = 10\\\\\rightarrow x = \frac{30}{2}\\\\\rightarrow x = 15

Thus he lives 15 blocks away from his work

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