A swimming pool can be filled in 4 hours by 8 pumps of the same type. How many such pumps are required if the pool is to be filled in 2 2/3 hours?

Solution

Number of Pumps Time required to fill a swimming pool

8 4 hours

x = ? 2 2/3 hours

Since the time required to fill the swimming pool is reduced to 2 ⅔ hours the number of pumps required will be more.

x = 8 × (4/(8/3))

x = 8 × (12/8)

x = 12

Therefore 12 pumps will be required to fill the swimming pool in 2 2/3 hours.

✦ Try This: A swimming pool can be filled in 6 hours by 4 pumps of the same type. How many such pumps are required if the pool is to be filled in 3 1/3 hours?

Number of Pumps Time required to fill a swimming pool

4 6 hours

x = ? 3hours

Since the time required to fill the swimming pool is reduced to 3 hours the number of pumps required will be more. Thus the number of pumps and the time required to fill the pool are inversely proportional to each other.

x = 4 × (6/(3))

x = 4 × (6/3)

x = 8

Hence 8 pumps will be required to fill the swimming pool in three hours.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 80

A swimming pool can be filled in 4 hours by 8 pumps of the same type. How many such pumps are required if the pool is to be filled in 2 ⅔ hours

Summary:

A swimming pool can be filled in 4 hours by 8 pumps of the same type. 12 such pumps are required if the pool is to be filled in 2 ⅔ hours

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