Algebra - math word problems - page 25 of 305

Number of problems found: 6095

The average 19
The average age of a class was 15 years. When 5 boys whose average age was 12 years 6 months were admitted in the class, the average was reduced by 6 months. How many students were there in the class originally?
Average age 4
The average age of 31 people in a group is 19. If one person is reduced to 18, the average age becomes 18. Find the age of the reducing person.
Usual speed 2
A passenger train takes 1 h less for a journey of 120 km.If its speed increased by 10 k/h from its usual speed. What is its usual speed?
Taps and a tank
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Usual speed
If the usual speed is reduced by 5 km per hour, a train takes 2 hours more to cover a distance of 300 km. Find the usual speed.
A bank
A bank reported that x/12 more first-time buyers took a mortgage out last month. If a quarter more mortgages were taken out, what number (x) is missing?
The average 16
The average of 50 numbers is 38. If the two numbers 45 and 55 are not considered, what will be the average of remaining numbers?
A boat 3
A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water.
Family members
Three years ago, the average age of a family of five members was 27. The present average age is also 27 after a child is included in the family. Find the age of the child.
Susan 5
Susan has a water tank in his back garden that can hold up to 750L in water. At the start of a rainy day (at 0:00) there is 165L in the tank, and after a heavy day’s rain (at 24:00) there is 201 L in the tank. Assuming that the rain fell consistently duri
A data
A data set has the sample mean =14 and the sum of the data values=294. How many values are there in the data set?
Worker 25
Worker A can do 2/3 of a certain work in 12 days and B can do 1/6 of the same work in 4 days, Find in how many days will they together complete the work?
Working together
Zeru can complete a certain job in 5 days, and Tulu can complete the same job in 3 days. How long will they complete the job if they work together?
Five men
5 men or 9 women can do a piece of work in 19 days, in how many days will 3 men and 6 women do it?
Correct mean and CV
For a group of 100 students, the mean and coefficient of variation of their marks were found to be 60 and 25, respectively. Later, it was found that the scores 45 and 70 were wrongly entered as 40 and 27. Find the corrected mean and coefficient of variati
Move the average
If the average of 5 numbers is 20, the number which should be added to first number to make the average becomes 30?
Fraction of a work
Person A can do 1/2 of a piece of work in 8 days, while person B can do 1/3 of the same work in 8 days. In how many days can both do it together?
3 men
Three men painting a house take 7 1/2 days. How long will 5 men take over the same job? Working at the same rate.
Three Numbers GP
The sum of three Numbers in geometric progression (GP) is 38, and their product is 1728. Find the Numbers.
Three numbers
In three numbers, the first number is double the second number, and the second number is double the third. The average of the numbers is 21. Find the least number.

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