Question

A rectangular field is 90 m square by 70 meter a man walk round it at the rate of 4 caper hour what time will he take in making 5 rounds ​

Answer 1

Appropriate Question:

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

Answer:

• Time required to complete 5 rounds is 24 minutes.

Step-by-step explanation:

Given:

• Rectangular field is 90m by 70m.
• A man walks round 4 km in 1 hour.

To Find:

• Time take in making 5 hours

Solution:

As we know,

$\sf\boxed{Perimeter\:of\: rectangle = 2(l + b)}$

where,

• l is length
• b is breadth

Now put on formula

$\: \: \sf \: perimeter \: of \: rectangle = 2(90 + 70) \\ \\ \: \: \sf \: perimeter \: of \: rectangle = 2 \times 160 \\ \\ \: \: \sf \: perimeter \: of \: rectangle = 320m$

Hence, Perimeter of rectangle is 320m.

Distance covered in 1 hour = 4km = 4 × 1000 = 4000 m

Distance covered in 5 rounds = 5 × 320m = 1600m

Time required to make 5 rounds = 1600/4000 = 0.4 hour = 24 minutes

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Answer 2

Given :

• A rectangular field is 90m by 70m
• A man walk round 4km in one hour

To Find :

• Time taken to cover 5 rounds.

Solution :

Let's take

• Length = 90m
• Breadth = 70m

By using formula,

⇒ Perimeter of rectangle = 2 ( l + b )

⇒ Perimeter of rectangle = 2 ( 90 + 70 )

⇒ Perimeter of rectangle = 2 × 160

⇒ Perimeter of rectangle = 320m

▪Perimeter of rectangle = 320m

To find Time taken to cover 5 rounds, first we have to find the total distance to cover.

★ Total distance to cover :

⇒ Total distance to cover = 320 × 5

⇒ Total distance to cover = 1600m

★ Speed rate of the man :

⇒ Speed rate of the man = 4km / hr

So we know that,

• 1 km = 1000m
• 1 hour = 60minutes

⇒ Speed rate of the man = 4 × 1000m / hr

⇒ Speed rate of the man = 4000m / 60mins

⇒ Speed rate of the man = 400m / 6mins

⇒ Speed rate of the man = 200m / 3mins

We have, Distance = 1600m and Speed = 200m / 3 mins

So, now to find time taken to cover 5 rounds.

By using time formula,

⇒ Time = Distance / Speed

⇒ Time = 1600 / 200m × 3mins

⇒ Time = 1600 / 66.6

⇒ Time = 1600 × 10 / 66.6 × 10

⇒ Time = 16000 / 666

⇒ Time = 24mins

•°• Hence, 24 mins is taken to cover 5 rounds.