Question

If a motorist moves with a speed of 30 km/hr and covers the distance from place A to B in 3 hours 30 minutes, find the distance between place A and place B.​

Answer 1

$\large{\mathfrak{\underline{\underline{\red{Answer:-}}}}}$

105 km

${\mathfrak{\underline{\underline{\blue{Step-By-Step-Explanation:-}}}}}$

$\large{\mathtt{\green{Given:-}}}$

Speed of Motorist = 30km/h

Time taken = 3 hrs 30min

___________________________

$\large{\mathtt{\green{To \: find:-}}}$

Distance from A to B

__________________________

$\large{\mathtt{\green{Solution:-}}}$

Convert 30mins into hours

➭ Divide by 60

⇒ 30/60

⇒ 0.5 hr

Total Time = (3 + 0.5)hr

Total Time = 3.5 hr

We have formula :-

$\LARGE{\mathbf{\underline{\boxed{\orange{Speed_{avg} \: = \: {\frac{Total \: distance}{Total \: Time}}}}}}}$

_____________[Put values]

30 = Distance / 3.5

Distance = 30 × 3.5

Distance = 105

Distance = 105 km

$\large{\bf{\star{\boxed{\purple{Distance \: = \: 105km}}}}}$

Answer 2

Step-by-step explanation:

Speed of Motorist = 30 km/h

Time taken = 3 hrs 30 min

To Find:-

Distance from A to B

Convert 30mins into hours

➭ Divide by 60

⇒ 30/60

⇒ 0.5 hr

Total Time = (3 + 0.5)hr

Total Time = 3.5 hr

We have formula :-

$Speed_{avg} =\frac{Total Distance}{Total Time}$

30 = Distance / 3.5

Distance = 30 × 3.5

Distance = 105

Answer:-

Distance = 105 km

I hope it works