Question 705017

SCQMEDIUM

On a one-way road, broken lines consisting of 2.5 m length segments separated by 2.5 m gaps are painted along the length of the road to demarcate 3 lanes, and continuous lines are painted along both the borders. What is the total length of the painted lines (in m) over a 250 m stretch of the road?

(A)

500

(B)

625

(C)

750

(D)

1000

Detailed Solution

For a 250 m stretch, the broken lines consist of segments of 2.5 m followed by 2.5 m gaps. Each cycle is 5 m long. In 250 m, there are 250/5=50250 / 5 = 50 cycles. Each cycle has 2.5 m of paint. There are 2 such lines between 3 lanes, so 2×(50×2.5)=2502 \times (50 \times 2.5) = 250 m. Additionally, there are 2 continuous boundary lines of 250 m each, so 2×250=5002 \times 250 = 500 m. Total length =250+500=750= 250 + 500 = 750 m.

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