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

Answer:

260 meters.

Step-by-step 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.

$A=1200\times \dfrac{1}{1+2}=1200\times \dfrac{1}{3}=400$

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.

$B=1200\times \dfrac{1}{4}=300$

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.

$C=1200\times \dfrac{1}{5}=240$

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.