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XAT 2014 — QA & DI Question 21

Simple EquationsEasy

A rectangular swimming pool is 48 m long and 20 m wide. The shallow edge of the pool is 1 m deep. For every 2.6 m that one walks up the inclined base of the swimming pool, one gains an elevation of 1 m. What is the volume of water (in cubic meters), in the swimming pool? Assume that the pool is filled up to the brim.

Answer & solution

  • A

    528

  • B

    960

  • C

    6790

  • 10560

  • E

    12960

Solution

Since the elevation increases by 1 m for every 2.6 m,

​​​​​​​

x=2.62-1=6.76-1=5.76=2.4 m

Since 482.4=20,

The height of the deeper end of the pool is 20 m.

This can be represented as follows,

​​​​​​​

The total volume of water in the pool,

(12×48×20)×20+(48×20×1)

⇒ 48× 20 × 11

⇒ 10560 m³

Hence, option (d).

XAT 2014 QA & DI Q21: A rectangular swimming pool is 48 m long and 20 m wide. The shallow edge of the pool is 1 m deep. For every 2. — Solution | TheCATExam