Basic operations and concepts - math word problems - page 24 of 323

Number of problems found: 6458

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 work by 30 men working 6 hours a day?
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
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.
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?
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?
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.
Drying fruit
Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?
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.
Three people
Three people - Peter, Quinton and Roland. 5 years ago, the average age of P and Q was 15 years. Present average age of P, Q and R is 20 years. Find the age of R after 10 years.
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.
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 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?
Monthly income
There are three working people - X, Y, Z. The average monthly income of X and Y is 5050 USD.The average monthly income of Y and Z is 6250 USD, and the average monthly income of X and Z is 5200 USD. What is monthly income of X?
The average 15
The average age of a group of four men whose ages are in the ratio of 2:3:4:5 is 42 years, what is the age of the eldest person of this group?
The temperature 45
The temperature in a field is 68°F at 4 PM. The temperature decreases by 4°F per hour. When will the temperature be 60°F?
Two trains 16
Two trains cross each other in 14 seconds when they are moving in opposite direction and when they are moving in the same direction they cross each other in 3 minutes 2 seconds . The speed of the faster train is by what percent more than the slower train?
A solution 2
To a solution of 30 litres containing 90% alcohol, how much water must be added to so that the alcohol becomes 80%?
Miniature train
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes?

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