Basic operations and concepts - math word problems - page 24 of 332

Number of problems found: 6632

20 men
20 men are supposed to complete a work in 10 days. After working for 5 days, they realize that only one-fourth of the work is done. How many more men they need to employ to complete the work on time?
Five couples
In how many ways can 5 couples arrange themselves in a row if they stay together?
Two trains 11
Two trains running in opposite direction cross a man standing on the platform in 27 seconds and 17 seconds and they cross each other in 23 seconds. Find the ratio of their speeds.
Two containers 2
Two containers, one large and one small, contain a total of 4 kilograms of bath salts. One-quarter of the bath salts from the large container are transferred to the small container, so the ratio of bath salts in the large container to that in the small on
Compound interest
Joel borrowed $3208.5 on November 2, 2021, at 3.6% p.a. How many days would it take for him to repay the loan if he made a payment of $ 3,720.34? Round up to the nearest day.
Daily compounded
Zachary invested $130 in an account paying an interest rate of 3.6% compounded daily, Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 11 years?
Compound vs simple interest
Calculate the difference between compound interest and simple interest in USD 7500 in two years at 8% per annum.
Common work
39 men can repair a road in 12 days working 5 hours a day. How many days will be required to complete the same work with 30 men working 6 hours a day?
Twins 2
The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one son is 5 : 2, what is the father's age?
Two points
M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN.
Drying fruit
Fresh fruit contains 68% water and dried fruit contains 20% water. How much dried fruit can be obtained from 100 kg of fresh fruit?
A train 4
A train passes two bridges of 400 m and 260 m in 25 sec and 18 sec, respectively. Find the length and speed of the train.
IQ scores
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of the population scores higher than 125 on an IQ test?
Discrete and continuous
2,3,4,4,5,5,5,6,6,7 Assume the scores are measurements of a Discrete variable and find the median. Assume the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution.
Ratio of acid and water
In a mixture of 60 litres, the ratio of acid to water is 2:1. If the ratio of acid to water is to be changed to 1:2, how much water must be added?
Two trains 16
Two trains cross each other in 14 seconds when moving in opposite directions, and in 3 minutes and 2 seconds when moving in the same direction. By what percentage is the speed of the faster train greater than that of the slower train?
A solution 2
To a solution of 30 litres containing 90% alcohol, how much water must be added so that the alcohol concentration becomes 80%?
Three people
Three people: Peter, Quinton, and Roland. 5 years ago, the average age of P and Q was 15 years. The current average age of P, Q, and R is 20 years. Find the age of R in 10 years.
52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain at least three aces?
A chemist 2
A chemist has two alloys of bronze, one that is 12% tin and 88% copper and a second that is 10% tin and 90% copper. If these two alloys are melted and thoroughly mixed together, between what two values are the percent of tin in the mixture?

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