English

A and B Together Can Do a Piece of Work in 6 2/3 Days, but B Alone Can Do It in 10 Days. How Long Will a Take to Do It Alone? - Mathematics

Advertisements
Advertisements

Question

A and B together can do a piece of work in `6 2/3` days, but B alone can do it in 10 days. How long will A take to do it alone?

Sum

Solution

A and B can do the work in =`6 2/3` days = `20/3` days

B can do the work in = 10 days

∴ (A + B)'s 1-day work =`3/20`

B's 1-day work =`1/10`

A's 1-day work =`3/20-1/10`

`=(3-2)/20=1/20`

∴ A can do the work in = 20 

shaalaa.com
Time and Work
  Is there an error in this question or solution?
Chapter 10: Direct and Inverse Variations - Exercise 10 (E) [Page 133]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 10 Direct and Inverse Variations
Exercise 10 (E) | Q 2 | Page 133

RELATED QUESTIONS

36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?


A car takes 6 hours to reach a destination by travelling at a speed of 50 km per hour. How long will it take when the car travels at a speed of 75 km per hour?


If 15 men can complete a piece of work in 30 days, in how many days will 18 men complete it?


A contractor undertakes to dig a canal, 6 kilometers long, in 35 days and employed 90 men. He finds that after 20 days only 2 km of the canal has been completed. How many more men must be employed to finish the work on time?


A can do a work in 15 days and B in 20 days. If they together work on it for 4 days; what fraction of the work will be left?


A, B, and C can do a piece of work in 6 days, 12 days, and 24 days respectively. In what time will they altogether do it?


A can finish a piece of work in 15 days and B can do it in 10 days. They worked together for 2 days and then B goes away. In how many days will A finish the remaining work?


A and B can do a work in 8 days; B and C in 12 days, and A and C in 16 days. In what time could they do it, all working together?


Two pipes P and Q would fill an empty cistern in 24 minutes and 32 minutes respectively. Both the pipes being opened together, find when the first pipe must be turned off so that the empty cistern maybe just filled in 16 minutes.


X alone can do a piece of work in 6 days and Y alone in 8 days. X and Y undertook the work for ₹ 48000. With the help of Z, they completed the work in 3 days. How much is Z’s share?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×