Q1. Riya has a lawn with a flowerbed and grass land. The grass land is in the shape of rectangle while flowerbed is in the shape of square. The length of the grassland is found to be 3 m more than twice the length of the flowerbed. Total area of the whole lawn is 1260 m²

i) If the length of the flowerbed is x m then what is the total
length of the lawn?

ii) What will be the perimeter of the whole field?

iii) What is the area of grassland?

Q2. Riya has a field with a flowerbed and grass land. The grass land is in the shape of rectangle while flowerbed is in the shape of square. The length of the grassland is found to be 3 m more than twice the length of the flowerbed. Total area of the whole land is 1260 m2

(i) If the length of the flowerbed is x m then what is the total length of the field ?

(ii) What will be the perimeter of the whole field?

(iii) What is the value of x if the area of total field is 1260 m²

Q3. Ram and Shyam are very close friends. Both the families decide to go to
Lansdowne by their own cars. Ram’s car travels at a speed of x km/h while
Shyam’s car travels 5 km/h faster than Ram’s car. Ram took 4 hours more than
Shyam to complete the journey of 400 km.

1. What will be the distance covered by Shyam’s car in two hours?

2. Which of the following quadratic equation describe the speed of Ram’s car?

3. What is the speed of Ram’s car?

4. How much time took Shyam to travel 400 km?

Q4. A cottage industry produces a certain number of pottery articles each day. It
was observed on monday that the cost of production of each article (in rupees)
was 3 more than twice the number of articles produced on that day. However on
tuesday, it was observed that the cost of production was 3 less than thrice the
number of articles produced that day. The cost of production was Rs.90 and
Rs.60 on monday and tuesday, respectively. Based on this information, answer
the following questions:

1. Find the number of articles produced onmonday ?

2. Find the cost of each article produced on monday ?

3. Find the number of articles produced on tuesday ?

4. Find the cost of each article produced on monday ?

Akash and Sita went to Varanasi during their holidays. Sita wanted to visit all
the ghats of Varanasi. So, they hired a motorboat for this purpose. While riding,
Akash observed that the speed of motorboat was 20 kmph. He was curious to
know the speed of river ganga. So he noted the time taken by the boat to travel
upstream and downstream in the river. He noticed that the boat took 1 hr more
to travel upstream than downstream to cover a distance of 15 km.
Based on the above information, answer the following questions:

i) If the speed of the river is x kmph, then the upstream speed of
the motor boat will be?

ii) What is the relation between speed, distance and time ?

iii) What is the correct QE for the speed of river?
x² +30x +400

iv) What is the speed of river Ganga?