Question:
A construction company needs to remove 24 tons of dirt from a construction site. They can remove 3/4 tons of dirt each hour. How long will it take to remove dirt
Answer:
It takes 32 hours to remove the dirt
Explanation:
Given:
Total amount dirt to be removed = 24 tons
Dirt that can removed in one hour = 3/4 tons
To Find:
Time taken to remove all the dirt =?
Solution:
Let the time taken to remove the dirt from the company be x.
Then
x =
![\frac{ \text { total amount of dirt in the company}}{\text{ amount of dirt removed in one hour}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/pq7r5pc7d6ptcndrtvn8cmi2edl8gt3bwb.png)
Substituting the given values , we get
x =
![(24)/((3)/(4))](https://img.qammunity.org/2021/formulas/mathematics/high-school/p7xzcdi0zflxl6prazpke2hgr7rzu9cw2x.png)
x =
![24* (4)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/c11phdr4727375vd50o7yzb591xry4d3zj.png)
x =
![(96)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/lhjclme8raki99fr244f6h765nzsmufgt3.png)
x= 32