Question

direct and Inverse variation a bus runs at an average speed of 35 km per hour and completes a journey in 4 hours and 12 minutes how long will it take to cover the same distance at a speed of 45 km per hour and also write what kind is it direct or inverse proportion

Answer 1

$\textbf {Hey there, here is the solution.}$

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Speed is directly proportional to distance

⇒ The faster the speed, the more distance you can cover in the same given time

Speed is inversely proportional to time

⇒ The faster the speed, the lesser the time needed

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Step 1: Convert 4 hours 12 mins to hours

4 hours 12 mins = 4 12/60 = 21/5 hours.

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STEP 2: Find the distance covered:

1 hour = 35 km

21/5 hours = 35 x 21/5 = 147 km

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STEP 3: Find the time needed if the speed is 45 km/h:

45 km = 1 hour

1 km = 1/45 hour

147 km = 1/45 x 147 = 3 4/15 hours

3 4/15 hours = 3 hours 16 mins

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Answer: It will take 3 hours 16 mins to cover the same distance.

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⭐$\textbf {Cheers}$⭐