Time and Work
- A can copy 75 pages in 25 hours. A and B together can copy 135 pages in 27 hours. In what time can B copy 42 pages ?
-
View Hint View Answer Discuss in Forum
In 25 hours A can copy 75 pages
In 1 hour A can copy 75/25 = 3 pages
In 25 hours (A and B) can copy = 135/27 = 5 pagesCorrect Option: A
In 25 hours A can copy 75 pages
In 1 hour A can copy 75/25 = 3 pages
In 25 hours (A and B) can copy = 135/27 = 5 pages
∴ In 1 hour B can copy (5 - 3) = 2 pages
∴ B can copy 42 pages in 21 hours.
- A man, on tour travel first 160 km, at 64 km/hr. and the next 160km at 80km/hr. the average speed for the first 320 km. of the tour is ?
-
View Hint View Answer Discuss in Forum
Average speed = 2t1 x t2/( t1 + t2)
Correct Option: B
Average speed = 2t1 x t2/( t1 + t2)
= (2x64x80)/(64+80)km
= (2 x 64 x 80 ) / 144 km/hr.
=71.11km/hr.
- A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together ?
-
View Hint View Answer Discuss in Forum
A 's 1 day's work = 1/4
B ' s 1 days's work = 1/12
(A+B) ' s day ' s work = 1/4 + 1/12Correct Option: B
A 's 1 day's work = 1/4
B ' s 1 days's work = 1/12
(A+B) ' s day ' s work = 1/4 + 1/12
= (3 + 1)/12 = 4/12 = 1/3
Days required by A and B together to do the work = 1 / (A + B ) ' s day ' s work = 3 days
- A stock of food is enough for 240 men for 48 days. How long will the same stock last for 160 men?
-
View Hint View Answer Discuss in Forum
M1 = 240, D1 = 48, M2 = 160 and D2 = ?
According to the formula,
M1D1 = M2D2Correct Option: D
M1 = 240, D1 = 48, M2 = 160 and D2 = ?
According to the formula,
M1D1 = M2D2
⇒ 240 x 48 = 160 x D2
∴ D2= (240 x 48)/160 = 72
- If 5 days take 7 h to pack 35 toys, how many boys can pack 65 toys in 3 h ?
-
View Hint View Answer Discuss in Forum
Given, M1 = 5, M2 = ?, T1 = 7, T2 = 3,
W1 = 35 and W2 = 65
According to the formula,
M1T1W2 = M2T2W1Correct Option: D
Given, M1 = 5, M2 = ?, T1 = 7, T2 = 3,
W1 = 35 and W2 = 65
According to the formula,
M1T1W2 = M2T2W1
⇒ 5 x 7 x 65= M2 x 3 x 35
⇒ M2 = (5 x 7 x 65)/(35 x 3) = 65/3 boys