Alex can solve a problem in 4 minutes- Brian can solve the same problem in 1 5 th of the time taken by Alex- How long in seconds does it take Brian to solve the problem-

Given that, the time taken by Alex to solve a problem is nbsp;4× 60=240 sec nbsp;...(0.5 marks) And Brian takes one fifth nbsp;of the time taken by Alex ...

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Standard IX

Mathematics

Multiplication of Unlike Fractions

Alex can solv...

Question

Alex can solve a problem in 4 minutes. Brian can solve the same problem in ${\frac{1}{5}}^{t h}$ of the time taken by Alex. How long (in seconds) does it take Brian to solve the problem?

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Solution

Given that, the time taken by Alex to solve a problem is $4 \times 60 = 240 s e c$ ...(0.5 marks)

And Brian takes one-fifth of the time taken by Alex to solve this problem.
So, Time taken by Brian
$= \frac{1}{5} \times 240 = \frac{240}{5} = 48 s e c$

...(1 mark)
Hence, Brian takes 48 seconds to solve the problem. ...(0.5 marks)

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Alex can solve a problem in 4 minutes. Brian can solve the same problem in 15th of the time taken by Alex. How long (in seconds) does it take Brian to solve the problem?

Given that, the time taken by Alex to solve a problem is 4×60=240 sec ...(0.5 marks) And Brian takes one-fifth of the time taken by Alex to solve this problem. So, Time taken by Brian =15×240=2405=48 sec ...(1 mark) Hence, Brian takes 48 seconds to solve the problem. ...(0.5 marks)

Alex can solve a problem in 4 minutes. Brian can solve the same problem in ${\frac{1}{5}}^{t h}$ of the time taken by Alex. How long (in seconds) does it take Brian to solve the problem?