Algebra - math word problems - page 23 of 312
Number of problems found: 6224
- Three sets
Of 240 students, 173 are on the honor roll, 48 are members of the varsity team, and 36 are on the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the vars - A plane 3
A plane left 30 minutes later than the scheduled time. In order to reach the destination 1,500 km away on time, it had to increase its speed by 250 km/h from its usual speed. Find its usual speed. - A passenger
A passenger train, 150 m long, passes a railway platform, 200 m long, in 35 seconds. Find: 1) speed of the train in km/h 2) the time taken by the train to pass a man cycling in the direction of the train at the rate of 9 km/h. - Product - maximum
If x+y is 12 then what is the maximum value of x×y? - Two trains 13
Two trains start at the same time toward each other from stations A and B at respective speeds of 36 km/h and 42 km/h. When they meet, it was found that one train has covered 48 km more than the other. Find the distance between the two stations. - Two places 3
The distance between two places, A and B, is 90 km. Two cars start together from A and B. If both the cars go in the same direction, they meet after 9 hours, and if they go in opposite directions, they meet after 9/7 hours. Find their speeds. (Assume that - Walking speeding
Susan walks from her home to work at 16 km/h and arrives 5 minutes late. If she walks at 20 km/h, she arrives 10 minutes early. Find the distance from her home to her workplace. - A train 3
A train takes 3 hours to go from one station to another station. If its speed is decreased by 12 km/h then the journey time will increase by 45 min. What is the distance between the two stations? - Lightning strike
In a thunderstorm, the formula M=t/5.3 gives the approximate distance, M, in miles, from a lightning strike if it takes t second to hear the thunder after seeing the lightning. If you are 5.4 miles away from the lightning flash, how long will it take the - Train same direction
Find the time taken by a train 170 m long, running at the speed of 83 km/h, to cross another train 180 m running at the speed of 65 km/h in the same direction. - A train 7
A train overtakes two persons walking in the same direction as the train at speeds of 2 km/h and 4 km/h. The train passes each of them completely in 9 and 10 seconds respectively. Find the length of the train. - Goods train
A goods train runs at a speed of 72 km/h and crosses a 250 m long platform in 26 seconds. What is the length of the goods train? - Two trains 15
A train travelling at 50 km/h leaves Delhi at 8 AM and another train travelling at 70 km/h leaves Delhi at 11 AM in the same direction. How many km from Delhi will they be when the faster train catches the slower one? - Two parts of a run
Adam can cover a certain distance in 1 hour 24 min by covering two-thirds at 4 km/hr and the rest at 5 km/hr. Find the total distance. - Two trains 9
A passenger train moving at a speed of 90 km/h leaves a station 6 hours after a goods (freight) train has left the station and overtakes it in 4 hours. What is the speed of the goods train? - Two persons
Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. Find the length of the train. - The boat
A boatman rows 2 km against the current in 40 minutes and returns to the same spot in 30 minutes. What is his rowing speed in still water? - A boat 4
A boat travels 25 km upstream in 5 hours and 25 km downstream in 2.5 hours. If the boat increased its speed by 3 km/h, it would take 1 hour less to travel the downstream distance. Find the speed of the stream. - Long train
A 110 m long train crosses a tree in 3 s. How long will it take to cross a 165 m long platform and 135 m long bridge, If the platform and bridge are at a distance of 30 m? - Adam reaches
If Adam walks at 3 km/h, he will reach school 15 minutes late. If he walks at 4 km/h (kmph), he will reach school 15 minutes earlier than usual. What is the distance between school and house?
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