Subject
Quantitative Aptitude
Topic
Time and Work
A team of 2 men and 5 women completed one-fourth of a project in 3 days. After 3 days one woman left the team and one man joined the team. The newly formed team took 2 days to complete another one fourth of the project. How many days will 4 men takes to complete the project alone?
A team of 2 men and 5 women completed one-fourth of a project in 3 days. After 3 days one woman left the team and one man joined the team. The newly formed team took 2 days to complete another one fourth of the project. How many days will 4 men takes to complete the project alone?
ক)
6খ)
8গ)
12ঘ)
24ঙ)
NoneExplanation
ধরি, 1 পুরুষের কাজের হার = x 1 মহিলার কাজের হার = y প্রথম তিন দিনে, 2x + 5y দিয়ে 1/4 কাজ 3 দিনে হয় অর্থাৎ, (2x + 5y) × 3 = 1/4 ...(1) পরের দুই দিনে, 3x + 4y দিয়ে 1/4 কাজ 2 দিনে হয় অর্থাৎ, (3x + 4y) × 2 = 1/4 ...(2) সমীকরণ (1) থেকে, 6x + 15y = 1/4 ...(3) সমীকরণ (2) থেকে, 6x + 8y = 1/4 ...(4) (3) - (4) করে, 7y = 0 ⇒ y = 0 y এর মান (3) এ বসিয়ে, 6x = 1/4 ⇒ x = 1/24 তাহলে 4 পুরুষের জন্য, 4 × (1/24) × t = 1 [যেখানে t হল সময়] ⇒ t = 6 সুতরাং 4 জন পুরুষ সম্পূর্ণ প্রজেক্ট শেষ করতে 6 দিন নেবে।Related questions
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