Question

Construction crews A,B,C and D build a 1200 meter long road. Team A builds 1/2 of the total length built by the other 3 teams. Team B builds 1/3 of the total length built by the other 3 teams. C builds a section that is 1/4 of the length built by the other teams. How many meters did Team D build

Answer 1

260 meters.

Explanation:

It is given that construction crews A,B,C and D build a 1200 meter long road.

`A+B+C+D=1200` ...(1)

Team A builds 1/2 of the total length built by the other 3 teams. So,

`A:(B+C+D)=1:2`

It means total distance divided in 1:2.

`A=1200* (1)/(1+2)=1200* (1)/(3)=400`

Similarly,

Team B builds 1/3 of the total length built by the other 3 teams.

`B:(A+C+D)=1:3`

It means total distance divided in 1:3.

`B=1200* (1)/(4)=300`

C builds a section that is 1/4 of the length built by the other teams.

`C:(A+B+D)=1:4`

It means total distance divided in 1:4.

`C=1200* (1)/(5)=240`

Now, put A=400, B=300 and C=240 in (1).

`400+300+240+D=1200`

`D=1200-940`

`D=260`

Therefore, 260 meters build by D.