Math, asked by khadijahabdullah555, 3 days ago

a bus travels at a speed of 88 km /h . find the distance of the car travelled in 20 mins and 14 seconds. give your answer in meters​

Answers

Answered by Yuseong
1

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Given Information :

• A bus travels at a speed of 88 km/h.

• Time taken by the bus is 20 minutes and 14 seconda.

To calculate :

• Distance covered by the bus. (in meters)

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Clarification :

Here, we provided the information that speed of the bus is 88 km/h. We are asked to find the distance covered by the car travelled in 20 mins and 14 seconds (in meters).

In order to find the distance in metres, we need to convert the speed in m/s and time in seconds. After the conversion of units, we'll simply apply the formula of distance to find the distance travelled by it in 20 mins and 14 seconds.

So, let's commence the steps!

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Explication of steps :

We have,

  • Speed of the car = 88 km/h_(1)
  • Time taken = 20 minutes 14 seconds_(2)

Converting speed into m/s :

  • To convert km/h into m/s, we multiply the given value with  \sf \dfrac{5}{18} .

↠88 km/h = 88 × \sf \dfrac{5}{18} m/s

↠88 km/h = 44 × \sf \dfrac{5}{9} m/s

↠88 km/h = \sf \dfrac{220}{9} m/s

88 km/h = 24.4444444 m/s

Converting time to seconds :

↠ Time = 20 minutes + 14 seconds

  • 1 minute = 60 seconds
  • 20 minutes = (20 × 60) seconds

↠ Time = (20 × 60) seconds + 14 seconds

↠ Time = 1200 seconds + 14 seconds

Time = 1214 seconds

Finding distance covered by the car :

We know that,

 \underline{\boxed {\sf { Distance = Speed \times time} } }

➝ Distance covered = 24.4444444 m/s × 1214 s

 \longmapsto\underline{\boxed{ \sf{ Distance \; covered = 29,675.55 \: m }}} \: \; \bigstar \\

Therefore, distance covered by the car is 29,675.55 meters.

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