###### Advertisements

###### Advertisements

90 men can complete a work in 24 days working 8 hours a day. How many men are required to complete the same work in 18 days working `7 1/2` hours a day?

###### Advertisements

#### Solution

In 24 days, working 8 hours a day, work can be completed by = 90 men

In 1 day, working 8 hours a day, work can be completed by = 90 × 24 men

In 18 days, working 8 hours a day, work can be completed by =`(90xx24)/18` men

In 18 days, working 1 hour a day, work can be completed by = `(90xx24)/18xx8` men

In 18 days, working `7 1/2` i.e. `15/2` hours a day, work can be completed by =`(90xx24xx8)/18xx2/15` men

`=(90xx24xx8xx2)/(18xx15)=(1xx24xx8xx2)/3` = 128 men

#### APPEARS IN

#### RELATED QUESTIONS

A train is moving with a uniform speed of 120 km per hour.**(i) **How far will it travel in 36 minutes?**(ii)** In how much time will it cover 210 km?

In a fort 150 men had provisions for 45 days. After 10 days, 25 men left the fort. How long would the food last at the same rate?

If 56 workers can build a wall in 180 hours, how many workers will be required to do the same work in 70 hours?

Cost of 24 identical articles is Rs. 108, Find the cost of 40 similar articles.

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

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?

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 can do a piece of work in 20 days and B in 15 days. They worked together on it for 6 days and then A left. How long will B take to finish the remaining work?

A can do a piece of work in 10 days; B in 18 days; and A, B, and C together in 4 days. In what time would C alone do it?

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?

P and Q can do a piece of work in 12 days and 15 days respectively. P started the work alone and then after 3 days, Q joined him till the work was completed. How long did the work last?

P alone can do `1/2` of a work in 6 days and Q alone can do `2/3` of the same work in 4 days. in how many days will they finish `3/4` of the work, working together?

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?