System of equations + time - practice problems
Number of problems found: 351
- The ages 3
The ages of A and B are in ratio of 5:4. Three years hence the ratio of their ages will become 11:9. What is the present age of B? - A man 24
A man distributed 25300 EUR among his 3 sons A, B, C in such a way that the amounts of their parts at 10% simple interest in 2 years, 3 years, 4 years will be equal. A's share? - 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 - 5 yrs 5 yrs ago, the average age of Rasmi and Suravi was 20 yr. Now, the average age of Rasmi, Suravi and Mita is 30 yrs. What will be the age of Mita after 15 years?
- The boat
A boatman goes 2 km against the stream in 40 minutes and returns to the same spot in 30 minutes. What is his rate of rowing in still water? - A plane 3
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it has to increase the speed by 250 km/hr from the usual speed. Find its usual speed. - 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? - 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?
- 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.
- 5 years 5 years ago the age of a father was thrice the age of his son. In 5 years time, the age of the father will be twice the age of his son at that time. Find their present ages.
- 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? - 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?
- At present
At present, Ram is eight years younger than Susan, and Hari is two years younger. If the respective ratio between the present age of Ram and that of Hari is 3: 4, then what is Hari's present age? - By increasing
By increasing the speed of his car by 15 km/h, a person covers a 300 km distance in an hour less than before. What was the original speed?
- 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. - 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. - 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. - Three workers Three people - A, B, C . A and B can do a piece of work in 18 days, B and C can do it in 24 days, A and C can do it in 36 days.In how many days B alone can finish the work?
- 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?
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