Question

A rectangular field is 90 m by 70 m. A man walks around it at the rate of 4 km per hour. What time will he take in making 5 rounds ?​

Answer 1

Answer:

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Answer 2

Given that,

• The Length ( L ) of Rectangular field is 90m.
• And, The Breadth ( B ) of Rectangular field is 70m.
• A man is running on the boundary of given field with 4km/h speed.

To Find,

• The Time taken to complete 5 rounds of the Rectangular field.

Solution,

Finding the Length of Boundary of the given Rectangular field,

As we know, The Length of Boundary of Rectangular field be Perimeter of the Rectangular field.

So we will find the Perimeter of the Rectangular field. As,

As we know,

• The Perimeter of the Rectangular field is 2( L + B ).

Finding the Perimeter,

• •➤ Perimeter = 2(90m + 70m)
• •➤ Perimeter = 2(160m)
• •➤ Perimeter = 320m

Hence, The Length of Boundary of the Rectangular field is 320m.

Finding the Distance covered in 5 rounds,

The Distance covered in 5 rounds = 5 × 320m

•➤ The Distance covered in 5 rounds is 1600m

As we know,

• •➤ 1000m = 1km
• •➤ 1m = 1/1000 km
• •➤ 1600m = 1600 × 1/1000 km
• •➤ 1600m = 1.6km

Hence, The Distance covered in 5 rounds is 1.6km.

Finding the Time taken,

As we know,

• The Time = The Distance / The Speed

We found,

• •➤ The Time = 1.6 km × 1 h / 4km
• •➤ The Time = 16/40 h
• •➤ The Time = 2/5 h.

As we know,

• •➤ 1h = 60 mins
• •➤ 2/5 h = 2/5 × 60 mins
• •➤ 2/5 h = 24 mins.

Therefore, The Time taken is 24 minutes.

Required Answer,

• The Time taken to complete 5 rounds of the Rectangular field is 24 minutes.