Hasan can dig 18 holes in 12 minutes. Faruk can dig the same number of holes in only 6 minutes. Hasan digs the first 9 holes, then Faruk digs for 2 minutes, and finally Hasan finishes the remaining holes. How long will it take them to dig 27 holes in total?
A
10 minutes
B
16 minutes
C
18 minutes
D
21 minutes
উত্তরের বিবরণ
Question: Hasan can dig 18 holes in 12 minutes. Faruk can dig the same number of holes in only 6 minutes. Hasan digs the first 9 holes, then Faruk digs for 2 minutes, and finally Hasan finishes the remaining holes. How long will it take them to dig 27 holes in total?
Solution:
Faruk can dig 18 holes in 6 minutes.
∴ In 2 minutes, he can dig = (18 × 2)/6 holes
= 6 holes
Hasan first digs 9 holes.
∴ Total completed = 9 (Hasan) + 6 (Faruk) = 15 holes
Remaining = 27 - 15 = 12 holes
Hasan can dig 18 holes in 12 minutes.
∴ To dig 12 holes, Hasan will take = (12 × 12) / 18 = 8 minutes
Time Hasan spent digging first 9 holes = (12 × 9)/18 = 6 minutes
∴ Total time = 6 (Hasan) + 2 (Faruk) + 8 (Hasan) = 16 minutes
0
Updated: 1 month 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 month 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 month ago
If 4 workers can assemble a car in 6 hours, how long would it take 15 workers to assemble the same car?
Created: 2 months ago
A
102 minutes
B
80 minutes
C
96 minutes
D
72 minutes
Question: If 4 workers can assemble a car in 6 hours, how long would it take 15 workers to assemble the same car?
Solution:
Given,
4 workers can assemble a car in 6 hours
∴ 1 workers can assemble a car in (6 × 4) hours
∴ 15 workers can assemble a car in (24/15) hours
= (24 × 60)/15 minutes
= 96 minutes
0
Updated: 2 months ago
A canteen requires 105 kgs of wheat for a week. How many kgs of wheat will it require for 58 days?
Created: 2 months ago
A
840 kgs
B
950 kgs
C
620 kgs
D
870 kgs
Question: A canteen requires 105 kgs of wheat for a week. How many kgs of wheat will it require for 58 days?
Solution:
For 7 days it is required = 105 kgs
∴ For 1 days it is required = (105/7) kgs
∴ For 58 days it is required = (105 × 58)/7 = 870 kgs
∴ 870 kilograms of wheat will be required for 58 days.
0
Updated: 2 months ago
