Mathematics
Grade-8
Easy

Question

The duration to complete a work is 1 hour 15 minutes, the duration to complete 4 such works is

  1. 3 hours 60 minutes
  2. 4 hours
  3. 5 hours
  4. 4 hours 45 minutes

hintHint:

Convert the time to one general unit to simplify solving the question.

The correct answer is: 5 hours


    G i v e n comma
A space w o r k space i s space c o m p l e t e d space i n space 1 space h o u r space 15 space m i n u t e s space equals space open parentheses 60 space plus space 15 close parentheses m i n u t e s space equals space 75 space m i n u t e s
T o t a l space n u m b e r space o f space w o r k s space t o space b e space c o m p l e t e d space equals space 4

T o space f i n d comma
T i m e space t a k e n space t o space c o m p l e t e space 4 space s u c h space w o r k s space equals space open parentheses T i m e space t a k e n space t o space c o m p l e t e space 1 space w o r k close parentheses open parentheses T o t a l space n u m b e r space o f space w o r k s close parentheses space equals space open parentheses 75 close parentheses open parentheses 4 close parentheses space equals space 300 space m i n u t e s

N o w comma
60 space m i n u t e s space equals space 1 space h o u r
300 space m i n u t e s space equals space x

T h e r e f o r e comma
x space equals space fraction numerator 300 cross times 1 over denominator 60 end fraction space equals space 5 space h o u r s

H e n c e comma space t i m e space r e q u i r e d space t o space c o m p l e t e space 4 space s u c h space w o r k s space i s space 5 space h o u r s.

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