Question
Download Solution PDF7 men or 10 women can build a wall of 100 metres in 10 days. How many days will 14 men and 20 women take to build a wall of 600 metres ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
7 men or 10 women can build a 100-metre wall in 10 days.
We need to find how many days 14 men and 20 women will take to build a 600-metre wall.
Calculation:
Step 1: Find the work done by 1 man and 1 woman.
7 men = 100 metres in 10 days
⇒ 1 man = 100 metres in 70 days
10 women = 100 metres in 10 days
⇒ 1 woman = 100 metres in 100 days
Step 2: Find the total work done by 14 men and 20 women per day.
Work done by 14 men in 1 day = 14 / 70 = 1/5 of 100 metres
Work done by 20 women in 1 day = 20 / 100 = 1/5 of 100 metres
Total work done per day = 1/5 + 1/5 = 2/5 of 100 metres
Total work done per day = 40 metres
Step 3: Calculate the total time to build a 600-metre wall.
Total time = 600 metres / 40 metres per day
⇒ Total time = 15 days
∴ 14 men and 20 women will take 15 days to build a 600-metre wall
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