A machine produces 240 toys in 4/3 hours. How many toys can it produce in 25 minutes?
A
60 toys
B
75 toys
C
80 toys
D
90 toys
উত্তরের বিবরণ
Question: A machine produces 240 toys in 4/3 hours. How many toys can it produce in 25 minutes?
Solution:
Given,
Time = 4/3 hours = (4/3) × 60 = 80 minutes
In 80 minutes, the number of toys produced = 240
In 1 minute, the number of toys produced = 240/80 = 3
In 25 minutes, the number of toys produced = 3 × 25 = 75
∴ The machine can produce 75 toys in 25 minutes.

0
Updated: 1 month ago
P and Q can do a job in 3 days. Q and R can do the same job in 4 days, while R and P can do it in 12 days. In how many days the job will be finished when P, Q and R working together.
Created: 2 months ago
A
10 days
B
3 days
C
4 days
D
12 days
Question: P and Q can do a job in 3 days. Q and R can do the same job in 4 days, while R and P can do it in 12 days. In how many days the job will be finished when P, Q and R working together.
Solution:
Given that,
(P + Q)'s 1 day's work = 1/3
(Q + R )'s 1 day's work= 1/4
and
(R + P)'s 1 day's work = 1/12
Now, (P + Q) + (Q + R) + (R + P) = 2(P + Q + R)'s 1 day's work = (1/3) + (1/4) + (1/12)
= (4 + 3 + 1)/12
= 8/12 = 2/3
∴ (P + Q + R)'s 1 day's work = 2/(3 × 2) = 1/3
So, P + Q + R can complete the job in = 3 days

0
Updated: 2 months ago
P can complete a piece of work in 18 days, while Q can complete the same work in 36 days. If both P and Q work together, in how many days will they be able to complete the entire work?
Created: 2 months ago
A
18 days
B
12 days
C
36 days
D
6 days
Question: P can complete a piece of work in 18 days, while Q can complete the same work in 36 days. If both P and Q work together, in how many days will they be able to complete the entire work?
Solution:
Given that,
P can do a piece of the work in 18 days and Q can do same work in 36 days
Now,
Let the total work = LCM(18, 36) = 36
Hence, total work = 36 units
Thus,
P does each day = 36 ÷ 18 = 2 units
Q does each day = 36 ÷ 36 = 1 unit
Hence, time taken by them to finish the work together = 36 ÷ (1 + 2) = 12 days.
∴ In 12 days working together they will complete the entire work.

0
Updated: 2 months ago
A worker’s regular pay is Tk. 15 per hour up to 40 hours. Overtime is paid at twice the regular rate. If he was paid Tk. 1,050, how many hours of overtime did he work?
Created: 1 month ago
A
9 hours
B
12 hours
C
10 hours
D
15 hours
Question: A worker’s regular pay is Tk. 15 per hour up to 40 hours. Overtime is paid at twice the regular rate. If he was paid Tk. 1,050, how many hours of overtime did he work?
Solution:
ধরি,
তিনি x ঘণ্টা overtime কাজ করেছেন।
সাধারণ বেতন (40 ঘণ্টার জন্য) = 15 × 40 = 600 টাকা
Overtime বেতন = 15 × 2 × x = 30x টাকা
মোট বেতন = সাধারণ বেতন + overtime বেতন
অর্থাৎ,
600 + 30x = 1,050
⇒ 30x = 1,050 - 600
⇒ 30x = 450
⇒ x = 450/30
∴ x = 15
∴ তিনি 15 ঘন্টা overtime করেছেন।

0
Updated: 1 month ago