Saturday 12 June 2021

speed sums ,picnic sums , cost sums, quadratic equations

Speed sums same as other sums

A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/hr more. Find the original speed of the train.

 fast train takes one hour less than a slow train for a journey of 200 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speed of the two trains.

A passenger train takes one hour less for a journey of 150 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.

The time taken by a person to cover 150 km was 2.5 hrs more than the time taken in the return journey. If he returned at a speed of 10 km/hr more than the speed of going, what was the speed per hour in each direction ?

A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/hr from its usual speed. Find the usual speed of the plane.

An aeroplane takes 1 hour less for a journey of 1200 km if its speed is increased by 100 km/hr from its usual speed. Find its usual speed.

train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed. If it takes 3 hours to complete^total journey, what is its original average speed?

A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hr more, it would have taken 30 minutes less for the journey. Find the original speed of the train.

train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey. Find the speed of the train.

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/hr more than that of the passenger train, find the average speeds of the two trains.


An aeroplane left 50 minutes later than its scheduled time, and in order to reach the destination, 1250 km away, in time, it had to increase its speed by 250 km/hr from its usual speed. Find its usual speed.

While boarding an aeroplane, a passenger got hurt. The pilot showing promptness and concern, made arrangements to hospitalise the injured and so the plane started late by 30 minutes to reach the destination, 1500 km away, in time, the pilot increased the speed by 100 km/hr. Find the original speed / hour of the plane.

A car moves a distance of 2592 km with uniform speed. The number of hours taken for the journey is one-half the number representing the speed, in km/ hour. Find the time taken to cover the distance.

1.piece of cloth costs Rs. 35. If the piece were 4 m longer and each metre costs Re. one less, the cost would remain unchanged. How long is the piece 

2.Some students planned a picnic. The budget for food was Rs. 480. But eight of these failed to go and thus the cost of food for each member increased by Rs. 10. How many students attended the picnic ?

3.If the list price of a toy is reduced by Rs. 2, a person can buy 2 toys mope for Rs. 360. Find the original price of the toy.

4.Rs. 9000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs. 160 less. Find the original number of persons.

5.Some students planned a picnic. The budget for food was Rs. 500. But 5 of them failed to go and thus the cost of food for each number increased by Rs. 5. How many students attended the picnic?

6.In a class test, the sum of the marks obtained by P in Mathematics and Science is 28. Had he got 3 marks more in Mathematics and 4 marks less in Science. The product of their marks, would have been 180. Find his marks in the two subjects.

7.In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of her marks would have been 210. Find her marks in two subjects.

8.
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs. 90, And the number of articles produced and the cost of each article.

9.At t minutes past 2 pm the time needed by the minutes hand and a clock to show 3 pm was found to be 3 minutes less than t24 minutes. Find t.

10.piece of cloth costs RS.75. If the piece were 4 metre longer and each metre costs RS.5 less, the total cost would remain unchanged. How long is the piece?

11.The total cost of a certain length of a piece of wire is Rs. 200. If the piece was 5 metres longer and each metre of wire costs Rs. 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per metre?

11.A lady purchased one piece of cloth for Rs 1600 .Had the price rate of cloth been Rs 40 per metre less,then she would have purchase 2 metre cloth more in the same amount.Find the measure of cloth and price per metre.

12.a piece of cloth costs Rs.300.If the piece was 5 metre longer and each metre of cloth costs Rs.2 less, the cost of the piece would have remained unchange.How long is the original piece of cloth and what is the rate per metre?

13.Some students planned a picnic and budget for food was USD 500. But, 5 of them failed to go and thus the cost of food for each member increased by USD 5. How many students attended the picnic?

14.Some students planned a picnic. The budget for food was Rs.500. But 5 of them failed to go and thus the cost of food for each member increased by Rs.5. How many students attend the picnic?


15.Some students planned a picnic. the total budget for food was rupees 2000 but 5 student failed to attend the picnic and thus the cost of food for each member increased by rupees 20 how

16.Some students planned a picnic. The total budget for hiring a bus was Rs. 1440. Later on, eight of these refused to go and instead paid their total share of money towards the fee of one economically weaker student of their class, and thus, the cost for each member who went for picnic, increased by Rs. 30.How many students attended the picnic?How much money in total was paid towards the fee? Which value is reflected in this question?

17.class decided to have a party at a total cost of Rs 720. Four students decided to stay out of the party. To meet the expenses the remaining students had to increase their share by Rs 9. What is the original cost per student?

18.There were 35 students in a hostel. If the number of the students is increased by 7, then the expenses of the mess increase by Rs 42 per day, while the average expenditure per head diminishes by Rs 1. The original expenditure of the mess per day was

19.some students planned a picnic. the total budget for hiring a bus was Rs1440.Later on 8 of these refused to go and instead paid their total share of money towards the fee of one ecnomically weaker student of their class,and thus the cost of each member who went for the picnic increased by Rs30.
)how many students attended the picnic.2)how much money in total was paid towards the fee

20.
some students arranged a picnic. the budget for food was Rs240. Because four students of the group failed to go, the cost of rach student got increased by Rs5. how many students went for picnic

21.some students planned a picnic.The budget for food was rs 960. But four of them failed to go and thus the cost of food for each friend increased by rs 12. How many friends went to the picnic

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