collection of word problems

collection of word problems

The area of a right angle triangle is 63 sq.cm. The length of the base of the triangle is 5 cm. more than the altitute of the triangle. Find the length of the altitute of the triangle. solution

The sum of the digits of a two digit number is 7. If the digits are reversed, the new number is equal to 3 less than four times the original number. What is the original number? solution

A man has 10 paise and 25 paise coins in his purse. The man has a total of 60 coins which amount to Rs.8.25.How many 10 paise and 25 paise coins does the man have in his purse? solution

The ratio of the incomes of two persons is 9:7 and the ratio of their expenditures is 4:3 . If each of them saves Rs.200/- per month, find their monthly incomes. solution

X can do a piece of work in 2 hours, while Y can do the same piece of work in 4 hours.What is the time taken if X and Y do the work together? solution


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index of math problems


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some problems on time and work

Time and Work

1. A man working alone can do a piece of work in 20 days while a woman working alone can do the same piece of work in 30 days. In how many days will the work be completed if the man and woman work together?

2. 'A' can do a piece of work in 9 days. If 'B' is 50% more efficient than A, find the number of days required by B to complete the piece of work?

3.A and B can respectively do a piece of work in 20/3 days and 5 days. They work together for 2 days and then A leaves . How many more days will it take for B to complete the work?

4. If 3 men and 5 women can do a piece of work in 8 days, and 2 men and 7 children can do the same piece of work in 12 days, then find how many children's work in a day is equal to the work of 10 women in a day?

5.Two pipes A and B can separately fill a tank in 12 hours and 16 hours respectively. A third pipe C can empty the tank in 8 hours. If all the three pipes are left open, how much time will it take for the tank to be filled?

6. A garrison has enough food for 52 days. After 20 days, 400 more soldiers arrived at the garrison. Now for the increased number of soldiers the food will last for only 24 days. How many soldiers were there originally in the garrison?

7. 40 men can dig a ditch 20m X 10m X 1m in 50 days. How many men will be required to dig another ditch 25m X 8m X 1m in 40 days ?

answers

short notes on time and work



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index of math problems


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There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work

time and work problem

X can do a piece of work in 2 hours, while Y can do the same piece of work in 4 hours.What is the time taken if X and Y do the work together?

converting to rate (quantity of work per unit time)

X can do (1/2) of the work in one hour
Y can do (1/4)th of the work in one hour

X+Y combined can do (1/2)+(1/4)=(3/4)th of the work in one hour

therefore X and Y combined will need 1 / (3/4)
or (4/3) hours to complete the work

that is 1 hour and 20 minutes

try the following page for some formulae time and work

other word problems with some explanation


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disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work