A man completes 2/5 of a work in 8 days. If his work rate is doubled, how many more days will it take him to finish the remaining work?
A
3 days
B
6 days
C
4 days
D
8 days
উত্তরের বিবরণ
Question: A man completes 2/5 of a work in 8 days. If his work rate is doubled, how many more days will it take him to finish the remaining work?
Solution:
2/5 of the work is done in = 8 days
∴ full work is done in = (8 × 5)/2 days
= 20 days
∴ His daily work rate = 1/20 per day
If his work rate is doubled, his new daily work rate is,
= (1/20) × 2 = 1/10 per day
Remaining portion of the job = 1 - (2/5)
= 3/5
Now,
1/10 work is done in = 1 day
∴ 3/5 work is done in = (3/5) ÷ (1/10) days
= (3/5) × 10
= 6 days
Therefore, it will take him 6 more days to finish the job.
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Updated: 1 week ago
Musa can do 1/4 of a work in 6 days. In how many days will he complete the work?
Created: 2 weeks ago
A
24 days
B
12 days
C
36 days
D
15 days
Question: Musa can do 1/4 of a work in 6 days. In how many days will he complete the work?
Solution:
Musa can do 1/4 of a work in 6 days.
∴ He will complete the work in = 6 × 4 = 24 days
∴ Musa will complete the work in 24 days.
0
Updated: 2 weeks ago
A takes three times as much time as B or twice as much time as C to finish a piece of work. Working together, they can finish the work in 3 days. B can do the work alone in how many days?
Created: 1 week ago
A
14 days
B
8 days
C
6 days
D
10 days
Question: A takes three times as much time as B or twice as much time as C to finish a piece of work. Working together, they can finish the work in 3 days. B can do the work alone in how many days?
Solution:
ধরা যাক,
A, B ও C যথাক্রমে কাজটি শেষ করতে সময় লাগে x, x/3, এবং x/2 দিন।
তারা একসাথে ৩ দিনে কাজ শেষ করে।
অর্থাৎ তাদের একদিনের কাজ হলো 1/3।
∴ A + B + C এর একদিনের কাজ = (1/x) + (3/x) + (2/x)
= (1 + 3 + 2)/x
= 6/x
এখন,
6/x = 1/3
∴ x = 18
∴ B একা কাজ শেষ করতে সময় নেবে = 18/3 = 6 দিন।
0
Updated: 1 week ago
P is 25% more efficient than Q. How much time will they, working together, take to complete a job which Q alone could have done in 27 days?
Created: 1 week ago
A
8 days
B
15 days
C
18 days
D
12 days
Question: P is 25% more efficient than Q. How much time will they, working together, take to complete a job which Q alone could have done in 27 days?
Solution:
P, Q এর থেকে 25% বেশি দক্ষ।
⇒ P : Q = 125 : 100 = 5 : 4
Q এক দিনে কাজ করে = 4 ইউনিট
P এক দিনে কাজ করে = 5 ইউনিট
মোট কাজ = Q এর দৈনিক কাজ × Q এর দিন
= 4 × 27 = 108 ইউনিট
একসাথে এক দিনে কাজ করে = 5 + 4 = 9 ইউনিট
তাহলে কাজ শেষ করতে সময় লাগবে = 108 ÷ 9 দিন
= 12 দিন
সুতরাং, P এবং Q একত্রে কাজটি শেষ করতে 12 দিন সময় নেবে।
0
Updated: 1 week ago
