Micheal finish colouring a picture in 7/2 hours. Vaibhav finish colour...
The problem
The problem states that Micheal takes 7/2 hours to finish colouring a picture, while Vaibhav takes 3/4 hours to finish colouring the same picture. We need to determine who worked longer and by what fraction.
Calculating the time taken by Micheal and Vaibhav
To compare the time taken by Micheal and Vaibhav, we need to find a common denominator for the fractions. The least common multiple (LCM) of 2 and 4 is 4. We can convert 7/2 to 14/4 and 3/4 remains the same.
So, Micheal takes 14/4 hours and Vaibhav takes 3/4 hours to finish colouring the picture.
Determining who worked longer
To determine who worked longer, we need to compare the time taken by Micheal and Vaibhav.
Micheal took 14/4 hours, while Vaibhav took 3/4 hours.
We can see that 14/4 is greater than 3/4, which means Micheal took longer to finish colouring the picture.
Calculating the fraction by which Micheal worked longer
To calculate the fraction by which Micheal worked longer, we need to subtract the time taken by Vaibhav from the time taken by Micheal.
14/4 - 3/4 = 11/4
So, Micheal worked longer by 11/4 hours.
Conclusion
In conclusion, Micheal worked longer than Vaibhav to finish colouring the picture. Micheal took 14/4 hours, while Vaibhav took 3/4 hours. Micheal worked longer by 11/4 hours.