Algebra - math word problems - page 24 of 312

Number of problems found: 6221

A tank 2
A tank can be filled by a pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. If the tank is initially empty and all three pipes are open, how many hours will it take to fill up the tank?
Two towns
X and Y are two towns . A man goes from town X to town Y at an average speed of 30 km/h and returns at the average speed 20 km/h. Find the distance between the two towns if the man takes 10 hours on the whole.
Work men and women
Two men and 1 woman can do a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man get 90 euros/day, what should be the wages/day of a woman?
Two trains 10
Two trains of lengths 75 m and 95 m are moving in the same direction at 9 m/s and 8 m/s, respectively. Find the time taken by the faster train to cross the slower train.
Tadeo
Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend? Write a system of equations that represents the situation. Let x r
The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl
The average 17
The average monthly salary of 20 workers in an office is $4,590. If the manager's salary is added, the average salary becomes $4,920 per month. What is the manager's monthly salary?
Work in factory
45 men can complete a work in 16 days, but after some days they started working 30 more men joined them and completed the remaining work in 6 days. How many days after the commencement of the job did 30 men join?
A man 18
A man walks for t1 hours at 4 km/h and then for t2 hours at 3 km/h. If he walks 29 km in 8 hours altogether, find the value of t1 and t2, respectively.
The bowling
The bowling scores in the local bowling tournament are 175, 200, 150, and 165. If he intends to average 170 in the 5 game series, what must his score be on his last game?
Average age 4
The average age of 31 people in a group is 19. If the group is reduced by one person to 30, the average age becomes 18. Find the age of the person who left.
The tourist
A man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/h and partly by bicycle at 9 km/h. Find the distance travelled on foot.
Usual speed 2
A passenger train takes 1 hour less for a journey of 120 km if its speed is increased by 10 km/h from its usual speed. What is its usual speed?
One combine
One combine harvester can harvest a field of corn in 4.5 hours. Another harvester can harvest the same field in 3 hrs. If the farmer uses the two harvesters at the same time. How long will it take to harvest the entire field?
A car miles
A car begins heading along a path at 50 mph. A second car begins an hour later, along the same path traveling at 70 mph. For how long will the first car travel when the second car overtakes it?
Transformer 3
A 200/115 V transformer has an LV (Low voltage) side resistance of 0.06 Ohm. What is the resistance referred to HV side (high voltage)?
Manday, manhour
Job problem: 10 men can make 20 toys in 12 days working 12 hours a day.Then, in how many days can 24 persons make 32 toys working 16 hours a day?
A long train
A train passes a standing man in 6 seconds and a 210 m long platform in 16 seconds. Find the length and the speed of the train.
The river
The river flows at 4 km/h. A boat can go downstream thrice as fast as upstream. Find the speed of the boat in still water.
Walker
Walker A takes 3 hours more than B in walking 30 km. If A doubles his speed, he will take 2 h less than walker B. Find the speeds of walkers A and B .

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