A rectangular park is 104 m long and 56 m wide. Anjali walks around it at the rate of 4 km/h. What time will she take in making 5 rounds of the park?

Given:

Length of the park = 104 m

Breadth of the park = 56 m

Speed of Anjali = 4 km/h

Number of rounds = 5

Perimeter of rectangular park = 2(length + breadth)

= 2(104 + 56) m

= 2 × 160 m

= 320 m

Total distance covered in 5 rounds = 5 × 320 m = 1600 m

Speed of Anjali = 4 km/h = 4 × 1000 m/h = 4000 m/h

So, Anjali covers 4000 m in 60 minutes.

∴ Anjali covers 1 m in $\dfrac{60}{4000}$ minutes.

∴ Anjali covers 1600 m in $\Big(\dfrac{60}{4000} \times 1600\Big)$ minutes

$= \dfrac{60 \times 1600}{4000}\\[1em] = \dfrac{96000}{4000}\\[1em] = 24 \text{ minutes}$

Hence, Anjali takes 24 minutes in making 5 rounds of the park.