Question

A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel miles in 9 hours.

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Answer 1

Given :-

Total distance traveled = 315 miles

Total time taken = 5 hours

To Find :-

The distance traveled in 9 hours.

Solution :-

${\sf{\huge{\underline{\underline{\orange{Ist\: Case}}}}}}$

First let's find out the rate of speed of the man .

We know that ,

${\sf{Speed\: =\: {\dfrac{Distance}{Time}}}}$

On inserting the values in the formula

We get ,

${\sf{Speed\: =\: {\dfrac{315\: miles}{5\: hr}}}}$

${\sf{\implies\: Speed\: =\:63\: miles/hr}}$

Given that speed is same in second case

${\sf{\huge{\underline{\underline{\orange{IInd\: Case}}}}}}$

Speed = 63 miles/hr

Time taken = 9 hours

${\sf{Distance=\: speed\: \times\: Time}}$

On inserting the values in the formula

We get ,

${\sf{Distance=\: 63\: \times\: 9}}$

${\sf{Distance=\: 567\: miles}}$

Therefore, Distance traveled in 9 hours is 567 miles

Answer 2

Correct Question

• A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, how much he will travel in 9 hours.

⠀

Given

• A car travels a distance of 315 miles in 5 hours.

⠀

To find

• Distance travelled by the car in 9 hours with the same speed.

⠀

❍ Firstly, we have to find the speed of the car.

⠀

• Using Formula

$\large{\boxed{\boxed{\sf{Speed = \dfrac{Distance}{Time}}}}}$

⠀

$\tt\longmapsto{Speed = \dfrac{315}{5}}$

⠀

$\bf\longmapsto{Speed = 63}$

⠀

• We have, speed = 63 miles/hr

⠀

❍ Calculating the distance travelled by the car in 9 hours.

⠀

• Using Formula

$\large{\boxed{\boxed{\sf{Distance = Speed \times Time}}}}$

⠀

$\tt\longmapsto{Distance = 63 \times 9}$

⠀

$\bf\longmapsto{Distance = 567}$

⠀

Hence,

• The distance travelled by the car in 9 hours is 567 miles.

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