Respuesta :
Answer: The missing value can be obtained with help of the below explanation.
Step-by-step explanation:
Since, Jasper takes time to installs a floor when he works alone = 7 hour
Thus, the total work done by him in one day = 1/7
While, Working with Yolanda, He takes time = 3 hours
Therefore, the total work done by Yolanda and jasper simultaneously in one day = 1/3
Let Yolanda takes x days to complete the work in one day when he works alone.
Therefore, total work done by him in one day when he work alone = 1/x
Thus, the total work done by Yolanda and jasper simultaneously in one day = The total work done by Yolanda in one day when he works alone + total work done by jasper in one day when he work alone
⇒ 1/3 = 1/x + 1/7
⇒ 1/x= 1/3-1/7 ⇒ 1/x = 4/21
Thus, the work of jasper in one day = 4/21
And, his work in 3 day = 3 × 4/21 = 4/7
Thus, The part of the floor Yolanda will install = 4/7
And, The part of the floor jasper will install = 1-4/7=3/7
